Find the indicated terms in each of following A.P.s: 1, 6, 11, 16, …; a20 - Mathematics

Find the indicated terms in each of following A.P.s: 1, 6, 11, 16, …; a₂₀

Sum

1, 6, 11, 16, …
Here, a = 1, d = 6 – 1 – 5
a₂₀ = a + (n – 1 )d
= 1 + (20 – 1) x 5
= 1 + 19 x 5
= 1 + 95
= 96

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Simple Applications of Arithmetic Progression

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Chapter 9: Arithmetic and Geometric Progressions - Exercise 9.2

Chapter 9 Arithmetic and Geometric Progressions
Exercise 9.2 | Q 2.1

The sum of three consecutive terms of an A.P. is 21 and the sum of their squares is 165. find these terms.

Q.4

Q.9

The 25^th term of an A.P. exceeds its 9^th term by 16. Find its common difference.

Which term of the A.P. 105, 101, 97, ........ is the first negative term?

The sum of the 4^th and the 8^th terms of an A.P. is 24 and the sum of the sixth term and the tenth is 44. Find the first three terms of the A.P.

If the common difference of an A.P. is – 3 and the 18th term is – 5, then find its first term.

Is 0 a term of the A.P. 31,28, 25,…? Justify your answer.

Which term of the A.P. 53, 48, 43,… is the first negative term?

The sum of three numbers in A.P. is 30 and the ratio of first number to the third number is 3 : 7. Find the numbers.