The first term of an AP. is 5. the last term is 45 and sum is 400. Find the number of terms and the common diference.
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a = 5
l = 45
Sn = 400
Sn = n (a + l) / 2
400 * 2 = n (5 + 45)
800 = n * 50
n = 16
l = a + (n - 1) d
45 = 5 + (16 - 1) d
40 = 15 d
d = 8 / 3
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