Question

Check whether 307 is a term of the list of numbers 6, 13, 20, 27, …..​

Answer 1

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Answer 2

SOLUTION

TO CHECK

307 is a term of the list of numbers 6, 13, 20, 27, …..

EVALUATION

Here the given list of numbers 6, 13, 20, 27, …..

First term = a = 6

Second Term = 13

Third term = 20

∴ Second Term - First term = Third term - Second Term

∴ Common Difference = d = 13 - 6 = 7

Let 307 be the nth term of the list of numbers 6, 13, 20, 27, …..

So by the given condition

$\sf{a + (n - 1)d = 307}$

$\sf{ \implies \:6 +7 (n - 1) = 307}$

$\sf{ \implies \:7 (n - 1) = 301}$

$\sf{ \implies \: (n - 1) = 43}$

$\sf{ \implies \:n = 44}$

Hence 307 is the 44 th term of the list of numbers 6, 13, 20, 27, …..

FINAL ANSWER

Yes , 307 is a term of the list of numbers 6, 13, 20, 27, ….. and it is 44 th term

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