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Find the sum of n terms of the series (a...

Find the sum of n terms of the series `(a + b) + (a^2 + 2b) + (a^2 + 3b) +.....`

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The correct Answer is:
`(a(a^(n)-1))/(a-1)+(n(n+1))/2 b`
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MODERN PUBLICATION-SEQUENCES AND SERIES-FAQs
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  7. Find the sumiof 50 terms of a sequence 7,7.7,7.77,7.777.

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  8. If S(n) denotes the sum fo n terms of a G.P. whose first term and comm...

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  9. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

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  10. A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...

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  11. An insect starts from a point and travels in a straight path 1 mm in t...

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  12. Verify that 10,-9,8.1…………… is a geometric progression. Find the sum to...

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  13. Find the sum to infinity of the G.P. -3/4,3/16,-3/64,………..

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  14. Prove that:3^(1/2)xx3^(1/4)xx3^(1/8)xx...=3

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  15. The first term of G.P. is 2 and the sum to infinity is 6. Find the com...

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  16. If A=1+r^a+r^(2a)+ to ooa n dB=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...

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  17. Use geometric series to express 0.555 ... =0.bar(5) as a rational numb...

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  18. Evaluate .23bar(45).

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  19. Which is the rational number having the decimal expansion 0. 3 56 ?

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  20. If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n dz=c+c/(r^2)+c/(r^4)+oo, ...

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