Find the 23rd term of the AP 7, 3, 1, –1, –3, …

1.	Find the 23rd term of the AP 7, 3, 1, –1, –3, …
Answer» To Find: 23^rd term of the AP Given: The series is 7, 5, 3, 1, –1, –3, … a₁= 7, a₂= 5 and d = 3–5 = –2 (Where a = a₁ is first term, a₂ is second term, a_nis n^th term and d is common difference of given AP) Formula Used: a_n = a + (n - 1)d So put n = 23 in above formula, we have a₂₃= a₁ + (23 - 1)(–2) = 7– 44 = –37 So 23^rd term of AP is equal to –37.

Answer»

To Find: 23^rd term of the AP

Given: The series is 7, 5, 3, 1, –1, –3, …

a₁= 7, a₂= 5 and d = 3–5 = –2

(Where a = a₁ is first term, a₂ is second term, a_nis n^th term and d is common difference of given AP)

Formula Used: a_n = a + (n - 1)d

So put n = 23 in above formula, we have

a₂₃= a₁ + (23 - 1)(–2) = 7– 44 = –37

So 23^rd term of AP is equal to –37.

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