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Find the sum of n terms of the series wh...

Find the sum of n terms of the series whose nth term is :
`2^(n+1)+4(n+1)(n-2)`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the sum of first n terms of the series. 3+7 + 13 + 21 + 31 + ……...

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  2. Find the sum of n terms of the series whose nth term is : 2^(n-1)-1.

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  3. Find the sum of n terms of the series whose nth term is : 2^(n+1)+4(...

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  4. Write the first six terms of the following sequence : a(1)=a(2)=1, a(n...

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  5. Which term of the progression 19 , 18 1/5, 17 2/5, ......... is the fi...

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  6. Each term of an A.P. is doubled. Is the resulting sequence also an A.P...

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  7. In an A.P., the mth term is 1/n and the nth term is 1/m, find the (mn)...

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  8. If a, b, c are in A.P., then prove that : (a-c)^2 =4(b^2 -ac).

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  9. Show that the sequence : log a, log (ab), log (ab^2), log (ab^3),........

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  10. How many number of two digits are divisible by 7 ?

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  11. If Sn denotes the sum of n terms of an A.P. whose first term is a, and...

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  12. If S(1),S(2),S(3),"....",S(p) are the sums of n terms of p AP's whose ...

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  13. If the sum of m terms of an AP is equal to the sum of either the next ...

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  14. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  15. The first term of an A.P. is a, the second term is b and last term is ...

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  16. Find the sum of all numbers in the first 1000 integers, which are neit...

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  17. A man gets an appointment with two options Either he can accept ₹ 45 p...

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  18. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

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  19. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

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  20. Two cars start together in the same direction at the same place.The fi...

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