Question

find 2²+2⁴+.......+2⁶⁰=?​

Answer 1

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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Answer 2

Step-by-step explanation:

This series is a G.P.

where r (common ratio)= 2²

Sn =

$a\frac{ {r}^{n } - 1 }{r - 1}$

Sn =

$\frac{a {r}^{n} - a }{r - 1}$

Sn=

$\frac{a {r}^{n - 1} \times r - a}{r - 1}$

Sn=

$\frac{lr - a}{r - 1}$

Sn=

$\frac{ {2}^{60} \times 4 - 4 }{4 - 1}$

Sn=

1537228672809129300