find 2²+2⁴+.......+2⁶⁰=?
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find 2²+2⁴+.......+2⁶⁰=?
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Answer:
here's ur answer
a=4,d=16-4=12
n=60
so,by AP
an=a+(n-1)d
an=4+59*12
an=4+708
an=712
hope it helps you
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Step-by-step explanation:
This series is a G.P.
where r (common ratio)= 2²
Sn =
[tex] a\frac{ {r}^{n } - 1 }{r - 1} [/tex]
Sn =
[tex] \frac{a {r}^{n} - a }{r - 1} [/tex]
Sn=
[tex] \frac{a {r}^{n - 1} \times r - a}{r - 1} [/tex]
Sn=
[tex] \frac{lr - a}{r - 1} [/tex]
Sn=
[tex] \frac{ {2}^{60} \times 4 - 4 }{4 - 1} [/tex]
Sn=
1537228672809129300