Question

Find 24th term of an arithmetic progression 2,5,8,11,

Answer 1

Answer:

AP:- 2,5,8,11.....

a = 2

d = 5 - 2 = 3

✓ n = 20

an = a + (n - 1)d

an = 2 + (20 - 1)3

an = 2 + (19)3

an = 2 + 57

a20 = 59

✓ n = 25

an = a + (n - 1)d

an = 2 + (25 - 1)3

an = 2 + 24(3)

an = 2 + 72

a25 = 74

So, the sum of the terms:-

= a25 + a20

= 74 + 59

= 133

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Arithmetic progression is a series of numbers with some difference in between the terms which is known as common difference.

a stands for the first term.

d stands for the common difference between the terms.

an or called the nth term stands for any term of the arithmetic progression Eg:- a2, which stands for the second term of the arithmetic progression.

n stands for the number of terms.

Sn stands for the sum of terms.