Given a and d for the following A.P., find the following A.P.:
a = –100, d = 7
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 = 7n–107
∴ The A.P is –100, –93, –86, –79……, 7n–107
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