Which term of the series 4, 7, 10 ........ is 43 ?
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Answer Is 20
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a = 4
d = a2 - a1
d = 7 - 4
d = 3
an = 43
an = a + (n - 1)d
43 = 4 + (n - 1) 3
43 = 4 + 3n - 3
43 = 1 + 3n
43 - 1 = 3n
3n = 42
n = 42 ÷ 3
n = 14
So, 14th term is 43
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