MEDIUM
10th CBSE
IMPORTANT
Earn 100

The first and the last terms of an AP. are 5 and 45 respectively. If the sum of all its terms is 400, find its common difference.

Important Questions on Arithmetic Progression

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 28
The sum of first 9 terms of an AP. is 162. The ratio of its 6th term to its 13th term is 1:2. Find the first and 15th term of the AP.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 29
If the 10th term of an A.P. is 21 and the sum of its first ten terms is 120, find its nth term.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 30
The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 31
The sum of first seven terms of an A.P. is 182. If its 4th and the 17th terms are in the ratio 1:5, find the A.P.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 32
The nth term of an A.P. is given by (-4n+15). Find the sum of first 20 terms of this A.P.
HARD
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 33
In an A.P., the sum of first ten terms is -150 and the sum of its next ten terms is -550. Find the A.P.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 34
Sum of the first 14 terms of an A.P. is 1505 and its first term is 10. Find its 25th term.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 5 - Arithmetic Progression>EXERCISE 5.6>Q 35
In an AP, the first term is 2, the last term is 29 and the sum of the terms is 155. Find the common difference of the AP.