Q. 1 C

Given a and d for the following A.P., find the following A.P.:

a = 100, d = –7

Answer :

Formula Used.


an = a + (n–1)d


If a = 100, d = –7


Then a1 = a + (n–1)d = 100 + (1–1)(–7) = 100


a2 = a + (n–1)d = 100 + (2–1)(–7) = 100 + (–7)×1 = 93


a3 = a + (n–1)d = 100 + (3–1)(–7) = 100 + (–7)×2 = 86


a4 = a + (n–1)d = 100 + (4–1)(–7) = 100 + (–7)×3 = 79


an = a + (n–1)d = 100 + (n–1)(–7) = 107 – 7n


The A.P is 100, 93, 86, 79……107–7n


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