Areyano158 Areyano158
  • 19-10-2021
  • Mathematics
contestada

Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=

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karkiemmanuel05
karkiemmanuel05 karkiemmanuel05
  • 20-10-2021

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120

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