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## 7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term

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7 th term and 14 th term of an Arithmetic sequence are 36 and 64 respectively , find the common difference and ,25th term

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Mathematics
5 months
2021-08-28T08:45:26+00:00
2021-08-28T08:45:26+00:00 1 Answers
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## Answers ( )

Answer:(a) The common difference is 4

(b) The 25th term is 108

Step-by-step explanation:GivenSolving (a): The common differenceThe nth term of an AP is:

For the 7th term, we have:For the 14th term, we have:Subtract both equationsDivide by 7Solving (b): The 25th termFirst, we calculate the first term (a)

The 7th term of the progression is:SubstituteSubtract 24The 25th term is: