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A man accepts a position with an initial salary of Rs 5200 per month. It is understood that he will receive an automatic increase of Rs 320 in the very next month and each month thereafter

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Question

A man accepts a position with an initial salary of Rs 5200 per month. It is understood that he will receive an automatic increase of Rs 320 in the very next month and each month thereafter. Find his salary for the tenth month

Sum
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Solution

Given that fixed increment in the salary of a man

= Rs. 320 each month

Initial salary = Rs. 5200 which makes an A.P

whose first term (a) = Rs. 5200 and common difference (d) = Rs. 320

Salary for the tenth month 

a10 = a + (n – 1)d

= 5200 + (10 – 1) × 320

= 5200 + 2880

= Rs. 8080

Hence, the required amount is Rs. 8080

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Chapter 9: Sequences and Series - Exercise [Page 161]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 9 Sequences and Series
Exercise | Q 3.(i) | Page 161

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