Question

10. Is 313, a term of the A.P. 5, 10, 15, ....?​

Answer 1

Common Difference: 5

• a = 5, d = 5, n = ?

→ 313 = 5 + (n - 1)(5)

→ 313 - 5 = 5(n - 1)

→ 308/5 = n - 1

→ 308/5 + 1 = n

→ 308/5 + 5/5 = n

→ 313/5 = n

Since nth term can't be in fractional form, hence it means that 313 can't exist in this Arithmetic Progression.

Required answer is “No”.