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9. Arithmetic Progressions
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Q43 of 202 Page 9

If the seventh term of an A.P. is 1/9 and its ninth term is1/7, find its (63)rd term.

a7=

a +6d= (i)


a9 =


a +8d= (ii)


subtracting (i) from (ii), we get,


2d=


d=


a= –


=


a63= a + 62d


= +


=1


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41

The 24th term of an A.P. is twice its 10th term. Show that its 72nd term is 4 times its 15th term.

42

Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.

44

The sum of 5th and 9th terms of an AP is 30. If its 25th term is three times its 8th term, find the AP.

45

Find where 0 (zero) is a term of the A.P.

Questions · 202
9. Arithmetic Progressions
1 2 3 1 2 3 4 5 6 7 8 9 10 11 12 1 2 2 2 2 2 3 3 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 1 2 3 4 5 5 5 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
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