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For an A.P., show that (m +n)th term + (...

For an A.P., show that (m +n)th term + (m-n) term
`=2 xx m` th term

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ICSE-ARITHMETIC PROGRESSION-Exercise 10F
  1. Find the sum of first 20 terms of an A.P. whose first term is 3 and th...

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  2. How many terms of the series 18 + 15 + 12 +…………... when added together...

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  3. The nth term of a sequence is 8 -5n. Show that the sequence is an A.P.

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  4. Find the general term (nth term) and 23rd term of the sequence 3, 1, -...

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  5. Which term of the sequence 3, 8, 13, is 78?

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  6. Is -150 a term of 11, 8, 5, 2…………

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  7. How many two digit numbers are divisible by 3?

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  8. How many multiples of 4 lie between 10 and 250 ?

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  9. The sum of the 4th term and the 8th term of an A.P is 24 and the sum o...

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  10. The sum of first 14 terms of an AP is 1050 and its 14th terms 140. Fin...

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  11. The 25th term of an A.P. exceeds its 9th term by 16. Find its common d...

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  12. For an A.P., show that (m +n)th term + (m-n) term =2 xx m th term

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  13. If the nth term of the A.P. 58, 60, 62, is equal to the nth term of th...

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  14. Which term of the A.P. 105, 101, 97,………. the first negative term is

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  15. How many three digit numbers are divisible by 7 ?

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  16. Divide 216 into three parts which are in A.P. and the product of two s...

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  17. Can 2n^2+ 7 be the nth term of an A.P. ? Explain.

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  18. Find the sum of the A.P. : 14, 21, 28………….. 168.

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  19. The first term of an A.P. is 20 and the sum of its first seven terms i...

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  20. Find the sum of last 8 terms of the A.P. -12,-10,-8,……..,58.

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