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Find the following sums 5+10+20+40+….....

Find the following sums
5+10+20+40+…..+2560

Text Solution

Verified by Experts

We have a=5, r= 2, `a_n=2560`
To find n we use `a_n = ar(n-1)`
`2560= 5xx2(n-1) implies 2^n implies 2^10 implies n= 10` Now we are ready to use formula `s_10= 5((1-2^20)/(1-2))=5xx1023 =5115`
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