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Let {b}_{{1}}>{1} for {i}={1},{2},,{101}. Suppose {{}_{{e}}{b}

Question

Let $b_{1} > 1$ for $i = 1, 2, \dots\dots, 101 .$ Suppose $lo g_{e} b_{1}, lo g_{e} b_{10}$ are in Arithmetic progression $(A . P .)$ with the common difference $lo g_{e} 2 .$ suppose $a_{1}, a_{2} \dots\dots\dots . a_{101}$ are in A.P. such $a_{1} = b_{1} and a_{51} = b_{51} .$ If $t = b_{1} + b_{2} + \dots\dots + b_{51} and s = a_{1} + a_{2} + \dots\dots + a_{51}$ then

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Benjamin Discussed

Let

b_{1} > 1

for

i = 1, 2, \dots\dots, 101 .

Suppose

lo g_{e} b_{1}, lo g_{e} b_{10}

are in Arithmetic progression

(A . P .)

with the common difference

lo g_{e} 2 .

suppose

a_{1}, a_{2} \dots\dots\dots . a_{101}

are in A.P. such

a_{1} = b_{1} and a_{51} = b_{51} .

t = b_{1} + b_{2} + \dots\dots + b_{51} and s = a_{1} + a_{2} + \dots\dots + a_{51}

then

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Question Text	Let $b_{1} > 1$ for $i = 1, 2, \dots\dots, 101 .$ Suppose $lo g_{e} b_{1}, lo g_{e} b_{10}$ are in Arithmetic progression $(A . P .)$ with the common difference $lo g_{e} 2 .$ suppose $a_{1}, a_{2} \dots\dots\dots . a_{101}$ are in A.P. such $a_{1} = b_{1} and a_{51} = b_{51} .$ If $t = b_{1} + b_{2} + \dots\dots + b_{51} and s = a_{1} + a_{2} + \dots\dots + a_{51}$ then
Answer Type	Video solution: 1
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