If the G.P.'s 5,10,20........... and 1280,640,320........ have their nth terms equal, find the value of n.
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Answered by
34
As their nth terms are equal -
5 * 2^n-1 = 1280 / 2^n-1
2^n-1 * 2^n-1 = 1280/5
2^(n-1+n-1) = 256
2^(2n-2) = 2^6
2n-2 = 6
2n = 6 + 2
2n = 8
n = 4
Note : Hope you could understand.
5 * 2^n-1 = 1280 / 2^n-1
2^n-1 * 2^n-1 = 1280/5
2^(n-1+n-1) = 256
2^(2n-2) = 2^6
2n-2 = 6
2n = 6 + 2
2n = 8
n = 4
Note : Hope you could understand.
VRAAA:
Please post the question again as I suspect there is an error
Corrected the error. yo may use it . hope there are no doubts.
Sorry, ignore the first answer. opt for this one. could not edit it.
5 * 2^n-1 = 1280 / 2 ^ n-1 , 2 ^ n-1 * 2 ^ n-1 = 1280 / 5, 2 ^ 2 (n-1) = 256
2 ^ 2 (n-1) = 2^8. so 2(n-1) = 8 , n-1 = 8/2 = 4 . n-1 = 4 . n = 5
Note : the mistake was: 256 = 2^8 . I had earlier written it by mistake as 2^6. please take this as your correct answer .
Answered by
24
Answer:
n=5
Step-by-step explanation:
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