The first term of an arithmetic sequence is 14. the 25 th term is 206. what is the common difference of the arithmetic sequence?

The common difference is 8

Explanation:

The first term of an arithmetic progression is 14 and the 25th term is 206. The formula to calculate for arithmetic progression is as follows:

Ap = a + (n-1)d

where

a = first term

n = number of term

d = common difference

a = 14

n = 25

Ap = 206

d = ?

The 25th term is 206 ,therefore,

206 = 14 + ( 25 - 1 ) d

206 = 14 + (24)d

collect like terms

206 - 14 = 24d

192 = 24d

divide both sides by 24

d = 192/24

d = 8

The common difference is 8

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