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The 7th Term of the an Ap is -4 and Its 13th Term is -16. Find the Ap. - Mathematics

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Question

The 7th term of the an AP is -4 and its 13th term is -16. Find the AP.

Solution

We have

T= a + (n-1) d

⇒ a +6d = -4           ...............(1)

T13 = a +(n-1) d

⇒ a + 12d = -16              .................(2) 

On solving (1) and (2), we get
a = 8 and d = - 2
Thus, first term = 8 and common difference = - 2
∴ The term of the AP are 8,6,4,2,.........

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Chapter 11: Arithmetic Progression - Exercises 1

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RS Aggarwal Mathematics [English] Class 10
Chapter 11 Arithmetic Progression
Exercises 1 | Q 26
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