# The number of terms in the series  101+99+97+.....+47 is

A Avinash Dongre

we need to determine how many terms are present in A.P
In an arithmetic series, the nth term is found by

$a_{n}=a_{1}+(n-1)d$

47 = 101 -(2*(n-1))
47 = 101 -2n +2

2n = 56
n = 28
there are 28 terms

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