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If the sum of n terms of an A.P. is nP+...

If the sum of n terms of an A.P. is `nP+1/2n(n-1)Q` , where P and Q are constants, find the common difference.

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The correct Answer is:
the common differnce is given by `d = a_(2) - a_1 = (P+Q) - P = Q`
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NCERT TELUGU-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
  1. If the sum of n terms of an A.P. is nP+1/2n(n-1)Q , where P and Q are...

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  2. Show that the sum of (m + n)^(th) and (m – n)^(th) terms of an A.P. ...

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  3. If the sum of three numbers in A.P., is 24 and their product is 440, f...

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  4. Find the sum of all numbers between 200 and 400 which are divisible by...

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  5. Find the sum of Integers from 1 to 100 which are divisible by 2 or 5.

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  6. Find the sum of all two digit numbers which when divided by 4, yields ...

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

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  8. The sum of some terms of G.P. is 315 whose first term and the common r...

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  9. The first term of a G.P. is 1. The sum of the third term and fifth ter...

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  10. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

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  11. A G.P. consists of an even number of terms. If the sum of all the term...

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

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  13. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

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  14. Find the 5th term of the sequence 1,sqrt2, 2

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  15. Find the 6th term from the end of the A.P:17,14,11,.......-40

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  16. If a ((1)/(b) + (1)/(c )), b ((1)/(c )+ (1)/(a)), c ((1)/(a) + (1)/(b)...

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  17. If a, b, c, d are in G.P, prove that (a^n + b^n), (b^n + c^n), (c^n +...

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  18. Find the product of the following pairs? -10ab^(3),-6a^(2)b

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  19. Find the product of the following pairs? 6pq,-2pq^(2)

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  20. Find the product of the following pairs? 2lm,5m

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  21. Find the sum of the following series up to n terms: (i) 5+55+555+......

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