Answer:
The common difference is 8
Step-by-step 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