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8. Arithmetic Progressions (AP)
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Q24 of 176 Page 8

If tn be the nth term of an A.P. such that find .

Given:


To find:


We know that,


tn = a + (n – 1)d


So,




⇒ 3(a+3d) = 2(a+6d)


⇒ 3a + 9d = 2a + 12d


⇒ 3a – 2a = 12d – 9d


⇒ a = 3d …(i)


Now, [from (i)]


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22

If 10 times the 10th term of an A.P. is equal to 15 times the 15th term, show that its 25th term is zero.

23

If (m + 1)th term of an A.P. is twice the (n + 1)th term, prove that (3m + 1)th term is twice the (m + n + 1)th term.

25

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26

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Questions · 176
8. Arithmetic Progressions (AP)
1 1 1 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 1 1 1 1 2 3 4 5 5 6 7 7 7 7 7 8 8 9 9 9 10 11 12 13 14 15 16 17 17 17 17 18 18 18 18 18 18 18 18 18 19 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 3 4 4 5 6 7 7 7 8 9 10 10 10 1 2 3 3 4 5 6 7 7 8 9 10 11 12 13 14 15 15 16 17 18 19 20 20 21 22 23 24 24 25 26 27 28 29 30 31 32 33 34 34 35 36 37 38 39 40 41 42 43 44 44 45 46 47 48
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