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The sums of n terms of three arithmetica...

The sums of `n` terms of three arithmetical progressions are `S_1, S_2a n dS_3dot` The first term of each unityand the common differences are `1,2a n d3` respectively. Prove that `S_1+S_3=2S_2dot`

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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS )
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  2. Show that the sum of an AP whose first term is a, the second term b an...

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  3. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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  4. If the pth term of AP is 1/q and its q th term is 1/p show that sum of...

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  5. The sum of the first five terms of an AP is 55 and sum of the first te...

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  11. A man saved Rs 200 during the first month, Rs 225 in the second month ...

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  13. A manufacturer of wire produced 1400 m wire in the 5 th year and 1600 ...

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  14. Find the middle term of the sequence formed by all three-digit numbers...

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  15. Find the sum of all the two digit numbers which are either multiples o...

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  16. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

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  17. An arithmetic progression 5, 12, 19,..., has 50 terms. Find its last t...

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  18. Find the middle term of the sequence formed by all numbers between 9 a...

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  19. The sums of n terms of three arithmetical progressions are S1, S2a n d...

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  20. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

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