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The fourth, seventh and the last term of a G.P. are 10,80 and 2560 respectively. Find the first term and the number of terms in the G.P?

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The fourth, seventh and the last term of a G.P. are 10, 80 and 2560, respectively. Then the first term and number of terms in the G.P. are, respectively,

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The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, find the 40^(th) term.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find the 10^(th) term of the G.P. -3/4,1/2,-1/3,2/9,….

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  2. Which term of the progression 18, -12, 8,… is (512)/(729)?

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  3. The fourth, seventh and the last term of a G.P. are 10,80 and 2560 res...

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  4. The first term of a G.P is 1. The sum of the third and fifth terms is ...

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  5. Find sum of 5 + 55 + 555 + ... to n terms.

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  6. If x=1 +a + a^2+…. to oo, where |a| lt1 and y=1+b+b^2+… to oo , where ...

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  7. A square is drawn by joining the mid points of the sides of a square. ...

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  8. Find the 20^(th) and n^(th) terms of the G.P. 5/2,5/4,5/8,…

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  9. Find the 12^(th) term of a G.P. whose 8^(th) term is 192 and the commo...

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  10. The 5^th, 8^th and 11^th terms of a GP are p, q and s respectively. Pr...

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  11. The 4^(th) term of a G.P. is square of its second term and the first t...

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  12. Which term of the following sequences 2,2sqrt2,4…is 128?

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  13. Which term of the following sequences sqrt3,3,3sqrt3,...is 729?

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  14. Which term of the following sequences 1/3,1/9,1/27,...is1/19683?

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  15. Find the sum to 20 terms of 0.15,0.015,0.0015,..

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  16. For what value of x, the numbers -2/7,x.-7/2 are in G.P ?

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  17. Find the sum to n terms of the G.P.sqrt7,sqrt21,3sqrt7…

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  18. Find the sum to n terms of the G.P. 1,-a,a^2,-a^3,...(ane-1)

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  19. Find the sum to n terms of the G.P.x^3,x^5,x^7,…(xne+-1)

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  20. Evaluate underset(K=1)overset11sum(2+3^K)

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