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Consider an infinite G.P with first term...

Consider an infinite G.P with first term a and common ratio `r,(-1ltrlt1)` If the sum of the given infinite G.P is 15 and the sum of squares of its terms is 45, find a and r

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`5,2/3`
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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
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  2. Consider an infinite G.P with first term a and common ratio r-(-1ltrlt...

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  3. Consider an infinite G.P with first term a and common ratio r,(-1ltrlt...

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  4. If |a|lt1 and b=a+a^2+a^3+ …to oo, can we write b=a/(1-a) ?

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  5. If b = a+a^2+a^3+..... oo, lallt1.Prove that a=b/(1+b)

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  6. Assume that 3.52 denotes 3.52222. If x=3.52, find 10x and 100x

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  7. Assume that 3.52 denotes 3.52222. Express this as a rational fraction.

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  8. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

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  9. Suppose 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an AP. P...

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  10. Suppose that a,b,c,d are in G.P with common ratio r Prove that b+c=ar...

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