**6.PROGRESSIONS **

Hi friends and my dear students! In this post, I have covered Important questions for 10^{th} class maths **chapter-6.****Progression****,Chapter wise previous year Questions. **After Reading Please do share it with your friends. **Learn maths for All classes her**

**PRIORITY-I**

**1
MARK QUESTIONS: **

1.
Write first three terms of the AP when a=4 and d=-3?

2.
Find d of the AP ¼,-1/4,-3/4,-5/4………?

3.
Find d of the AP √2, √ 8,√18,
√32….?

4.
Find the 10th term of the AP 5, 1, -3, - 7,…………..?

5.
Which term of the AP 21, 18, 15, ……………………… is -81 ?

6.
Find the sum of first 100 natural numbers?

7.
Write the GP, if a=3, and r=2 ?

8.
Check weather 301 is a term of the list of number 5,11,27,23,……

9.
Find the sum of -1,1/4,3/2..(10 terms)

10.
Which term of the G.P; 2, 2√2,4…..is 128?

11.
In an A.P the sum of n terms is always not equal to zero say your opinion on
this statement?

12.
If x,x+2,x+3 are consecutive terms of a G.P. then find x.

13.
Find the common ratio of the GP 25,-5, 1, -1/5, …………………?

14.
Find x so that x,x+2, x+6 are consecutive terms of GP ?

15.
Find the 10th term of the GP 5,25,125….?

**2
MARK QUESTIONS:**

13.
Determine the AP whose 3^{rd} term is 5 and the 7^{th} term is
9. ?

14. How
many two digits numbers are divisible by 3?

15.
Find the 11^{th} term from the last of the A.P series 10,7,4……62

16.
How many multiples of 4 lie between 10 and 250?

17.
Find the sum of the first 40 positive integers divisible by 6?

18.
If 3^{rd} and 9^{th} terms of a n A.P are 4 and -8 respectively
which term of the A.P is zero

19.
The first term and the last terms of an A.P are 17 and 350 respectively if the
common difference is 9 how many terms are there and what is their sum?

20.
Which term of AP 3, 8, 13, 18, …………………..78?

21.
Find the 31^{st }term of an AP whose 11^{th} term is 38 and 16th
term is 73. ?

22.
Find the 20^{th} term from the end of the AP 3,8, 13,……………….., 253?

23.
Subbarao started work in 1995 at annual salary of Rs.5000 and received an
increment of Rs.200 each year. In which year did his income reach Rs.7000?

24.
If the sum of the first 14 terms of an AP is 1050 and its first term is 10.
Find the 20th term. ?

25.
How many terms of the AP 24,21,18,……..must be taken so that their sum is 78 .?

26.
Find the sum of first 24 terms of the list of numbers whose n^{th} term
is given by a_{n }= 3+2n ?

27. Find
the 20th term and n^{th} term of the GP5/2,5/4 ,5/8 ………?

28.
In a GP the 3^{rd }term is 24 and 6^{th} term is 192. Find the
10^{th }term ?

29.
Deduce sum to n terms in an A.P. by Gauss?

Also Check

Important questions for 10th class maths chapter-5 Quadratic-equations

**Important questions for 10th class maths chapter-1 Real numbers**

**Important questions for 10th class maths chapter-4**** **LINEAR EQUATIONS

Important questions for 10th class maths chapter-3 polynomial

**4
MARKS QUESTIONS **

1.
A sum of Rs.1000 is invested at 8% simple interest per year. Calculate the
interest at the end of each year. Do these interests form an AP? If so, find
the interest at the end of 30 years?

2.
In a flower bed, there are 23 rose plants in the first row, 21 in the second
row, 19 in the third row and so on. There are 5 rose plants in the last row.
How many rows are there in the flower bed.?

3.
A manufacture of TV sets produced 600sets in the third year and 700 sets in the
seventh year. Assuming that the production increases uniformly by a fixed
number every year, find

(i)
the production in the 1^{st} year? (ii) the production in the 10^{th}
year? (iii)the total production in 7 years?

4.
The sum of the 4th and 8th terms of an AP is 24 and the sum of the 6th and 10th
terms is 44. Find the first three terms of the AP.

5.
A sum of 700/- is to be used to give seven cash prizes to students of a school
for their overall academic performance if each prize is 20/- less than its
preceding prize find the value of each of the prizes.

6. The 4^{th}
term of a GP is 2/3 and the 7^{th} term is 16/81. Find the GP?

7. If the geometric progressions
162,54,18…. And 2/87,2/27,2/9…………….have their nth term find the value of ‘n’

**PRIORITY-II
**

**2
MARK QUESTIONS: **

1.
Which term of the GP 2,8,32,---is 512?

2.
Is 84 is a term of the sequence 3,7,11----?

3.
In 56,63,70,---497 series how many terms are there?

**4
MARKS QUESTIONS: **

1.
A Contractor
constriction job specifies a penalty for delay of completion beyond a certain
date as follows Rs. 200 for the first day. The penalty for each succeeding day
being Rs 50 more than the preceding day. How much money does the contractor pay
as penalty if he has delayed the work by 30 days

2.
A spiral is
made up of successive semicircles, with centers alternately at A and B,
starting with centre at A, of radius 0.5 cm, 1.0 cm, 1.5 cm, 2.0 cm, . . . What
is the total length of such a spiral made up of thirteen consecutive
semicircles?

3.
200 logs are
stacked in the following manner: 20 logs in the bottom row, 19 in the next row,
18 in the row next to it and so on. In how many rows are the 200 logs placed
and how many logs are in the top row?

4. For what values of n are the nth
terms of two AP’s 63,65,67,---- and 3,10,17----equal?

6.
Show that a1,a2,----an
from an AP where a_{n}=9-5_{n}

7.
The 24^{th}
term of an AP is twice its 10^{th} term show that its 72^{nd} terms
is 4 times the 15^{th} term

8.
Parking fee for
a two wheeler is Rs 10/- per day for first day and then after Rs 2/- for every
day. So what will be the amount to be paid for 15 days

9.
In a chemical
atomic fusion, neutrons are got tripled after every reaction. If 30 numbers of
neutrons were present at the beginning of the reaction find after how man
reactions the number of neutrons be 17,71,470

10.
If in a series
S_{n}=an^{2}+bn+c where Sn denotes the sum of ‘n’ terms then
prove that the series is arithmetic from the second term onwards.

11. If 1/b+c, 1/c+a, 1/a+b are in
A.P. , then show that a^{2}, b^{2}, c^{2} are in A.P.?

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