3 years ago

Find the 52nd term of the following arithmetic sequence. 17, 22, 27, 32, ...

Mathematics

1 answer:

rewona [7]3 years ago

4 0

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

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<h3>Key points :-</h3>

᪥ The formula to find the 31st term is : $\sf \: a_{n} = a_{1} + (n - 1) \times d$

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᪥ $\sf\:d$ is the common difference between the terms, In our case d is 4.

$\green{ \rule{300pt}{3pt}}$

<em>Detailed Solution is attached</em>᭄

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