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1. a + 15d = 100
we know that,
an = a + (n - 1)d
Here, an = 100
n - 1 = 15
n = 16
2. Given,
AP : -43, -37, -31,....
a = -43
n = 10
d = - 37 - (-43)
= -37 + 43
= 6
an = a + (n-1)d
a 10 = -43 + (10 - 1) 6
= -43 + 54
= 11
3. False, n of an AP can never be negative.
4. a = 14
a 12 = 124
an = a + (n - 1) d
124 = 14 + (12 - 1)d
110 = 11d
d = 10
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