Question

Which term of the AP: 4,9, 14, 19,
is 109
(A) 14th
(C) 22nd
(B) 18th
(D) 16th​

Answer 1

c.22nd...............

Answer 2

Answer:

• Option C is correct. Hence, 22nd term of AP is 109.

Step-by-step explanation:

Given:

• First term (a₁) = 4
• Common difference (d) = 5
• Last Term (aₙ) = 109

To Find:

• Which term of AP is 109.

Formula used:

• aₙ = a + (n - 1)d

Now, put the value in formula,

⇒ aₙ = a + (n - 1)d

⇒ 109 = 4 + (n - 1)5

⇒ 109 = 4 + 5n - 5

⇒ 109 = 5n - 1

⇒ 5n = 109 + 1

⇒ 5n = 110

⇒ n = 110/5

⇒ n = 22nd

Hence, 22nd term of AP is 109.