the sum of first n term of an ap is given by SN is equal to 2n square + 3n find the 16 term of an ap
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Answer:
put n=1 then
1st term is 5
put n=2 then sum of two terms is 14
2nd term is 9
a=5
d=4
16th term is a+15d
=5+60
=65
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Answered by
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Sn = 2n^2 + 3n
If n=1,
S1= 2x1^2 +3x1
= 5
We know, *S1=a1*
---> a= 5
If n=2,
S2= 2x2^2 + 3x2
=14
Sn= n/2[2a+(n-1)d]
14= 2/2[2x5+(2-1)d]
14= 10+d
d= 14-10
= -4
a16= a+15d
=5+ 15x-4
= -55
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