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General Form of an AP

Question 5 i ...

Question

Question 5 (i)
Find the number of terms in each of the following A.P.
(i) 7, 13, 19, .., 205

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Solution

(i)
$F o r t h i s A . P, a = 7 d = a_{2} - a_{1} = 13 - 7 = 6 A s s u m e t h a t t h e r e a r e n t e r m s i n t h i s A . P . a_{n} = 205 W e k n o w t h a t, a_{n} = a + (n - 1) d T h e r e f o r e, 205 = 7 + (n - 1) 6 198 = (n - 1) 6 33 = (n - 1) n = 34 T h e r e f o r e, t h i s g i v e n A . P h a s 34 t e r m s i n i t .$

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Q. Question 5 (i)
Find the number of terms in each of the following A.P.
(i) 7, 13, 19, .., 205

Find the number of terms in each of the following A.P.

I. 7, 13, 19, …, 205

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Q. Find the number of terms in the following

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General Form of an AP

Standard X Mathematics

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