. The sum of first 18 terms of an AP whose nth term is 3 − 2n is
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Step-by-step explanation:
Given that nth term of an ap is 3 - 2n i.e.
an = 3-2n
So,
a1 = 3-2 = 1
a2 = 3-4 = -1
a3 = 3-6 = -3
a4 = 3-8 = -5
a5 = 3-10 = -7
So, it give that
first term = a = 1
&
common difference =
d = -3.
Now , we have to find sum of its first 18 terms
So,
n=18.
S18 = 18/2 (2a+17d)
= 9(2-51)
= 9 * (-49)
= -441
so sum of its first 18 terms is equals to -441 .
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