Question

Is 310 a term of the a.p 3 8 13 ......... ?

Answer 1

Given :

• First term ( a ) = 3

• Common difference ( d ) = 5

• Last term ( An ) = 310

To Find :

• 310 is the term of given A.P or not

Solution :

★ An = a + ( n - 1 ) d

→ 310 = 3 + ( n - 1 ) × 5

→ 310 - 3 = ( n - 1 ) × 5

→ 307 = ( n - 1 ) × 5

→ 307 / 5 = n - 1

→ n - 1 = 61.4

→ n = 62.4

310 is not the term of given A.P because n is not a natural number