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Formula for Sum of n Terms of an AP

If tn=6n+5,...

Question

If $t_{n} = 6 n + 5$ , then $t_{n + 1} =$

6 (n + 1) + 17

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6 (n - 1) + 17

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6 n + 11

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6 n - 11

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Solution

The correct options are
B $6 (n - 1) + 17$
C $6 n + 11$
Given, $t_{n} = 6 n + 5$
$t_{n + 1} = 6 (n + 1) + 5 = 6 n + 11$
Now, check other options as well.
We see that $6 (n - 1) + 17$ is also equal to $6 n + 11$ .
Hence, options B and C are correct.

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