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If a,b and c are in A.P, show that (b+c)...

If a,b and c are in A.P, show that (b+c), (c+a) and (a+b) are also in A.P.

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(b+c), (c+a) and (a+b)
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ICSE-ARITHMETIC PROGRESSION-Exercise 10F
  1. If a,b and c are in A.P, show that (b+c), (c+a) and (a+b) are also in ...

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  2. The 6th term of an AP. is 16 and the 14th term is 32. Determine the 36...

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  3. If the third and the 9th terms of an A.P. be 4 and -8 respectively, fi...

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  4. An A.P. consists of 50 terms of which 3rd term is 12 and the last term...

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  5. Find the arithmetic mean of : (i) -5 and 41 (ii) 3x-2y and 3x+2y ...

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  6. Find the sum of first 10 terms of the A.P. 4+6+8+………

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  7. Find the sum of first 20 terms of an A.P. whose first term is 3 and th...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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