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Find 8th Term of the A.P. 117, 104, 91, 78, ...

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Question

Find 8th term of the A.P. 117, 104, 91, 78, ...

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Solution

In this problem, we are given different A.P. and we need to find the required term of that A.P.

8th term of the A.P. 117, 104, 91, 78, ...

Here

First term (a) = 117

Common difference of the A.P. (d) = 104 - 117

= -13

Now as we know

`a_n = a + (n -1)d`

So for 8th term

`a_8 = a + (8 - 1)d`

= 117 + (7)(-13)

= 117 - 91

= 26

Therefore, the 8th term of the given A.P. is `a_8 = 26`

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Chapter 5: Arithmetic Progressions - Exercise 5.4 [Page 24]

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R.D. Sharma Mathematics [English] Class 10
Chapter 5 Arithmetic Progressions
Exercise 5.4 | Q 1.5 | Page 24
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