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If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference. - Mathematics

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Question

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

Sum

Solution

First term (a) = –18
T10 = 0
a + (n – 1)d = Tn
–18 + (10 – 1)d = 0
–18 + 9d = 0
⇒ 9d = 18
⇒ d = `(18)/(9)` = 2
∴ Common difference = 2.

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Simple Applications of Arithmetic Progression
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Chapter 9: Arithmetic and Geometric Progressions - Exercise 9.2

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 9 Arithmetic and Geometric Progressions
Exercise 9.2 | Q 5.2
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