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The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

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The sum of first four terms of an AP is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms. Also find the sum of all terms of the AP.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Consider two A.P.: S2:2,7,12 ,17 , 500 terms a n dS1:1,8,15 ,22 , 300 ...

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  2. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

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  3. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  4. Given two A.P. 2,5,8,11...... T(60) and 3,5,7,9,......... T(50)dot Th...

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  5. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

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  6. Find the term of the series 25 ,22 3/4,20 1/2,18 1/4 which is numeric...

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  7. How many terms are there in the A.P. 3, 7, 11, ... 407?

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  8. If a ,b ,c ,d ,e are in A.P., the find the value of a-4b+6c-4d+edot

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  9. If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ...

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  10. If a ,b ,c in R+ form an A.P., then prove that a+1//(b c),b+1//(1//a ...

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  11. Find the degree of the expression (1+x)(1+x^6)(1+x^(11))........(1+x^(...

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  12. In an A.P. of 99 terms, the sum of all the odd-numbered terms is 2550....

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  13. Divide 32 into four parts which are in A.P. such that the ratio of the...

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  14. Show (m+n)th and (m-n)t h terms of an A.P. is equal to twice the mth ...

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  15. If the sum of three consecutive numbers in A.P., is 24 and their pr...

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  16. Prove that the sum of n number of terms of two different A.P. s can be...

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  17. In an A.P. if S1=T1+T2+T3+.....+Tn (n is odd)S2=T2+T4+T6+.........+T(n...

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  18. If the sum of the series 2, 5, 8, 11, ... is 60100, then find the valu...

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  19. The digits of a positive integer, having three digits, are in A.P. and...

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  20. If eleven A.M. ‘s are inserted between 28 and 10, then find the number...

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