Question

Write down the first four terms of the sequences whose an= 3^n+1

Answer 1

$\huge{\bold{ \underline{ \underline{Given :}}}}$

$\huge{\bold{ \pink{an = {3}^{n} + 1}}}$

$\bold{step \: by \: step \: explanation}$

$\bold{a(1) = {3}^{1} + 1 } \\ \: \: \: \: \: \: \: \: = 3 + 1 \\ = 4$

$\bold{a(2) = {3}^{2} + 1 } \\ \: \: \: \: \: \: = 9 + 1 \\ = 10$

$\bold{a(3) = {3}^{3} } + 1 \\ \: \: \: \: \: \: \: \: \: \: = 27 + 1 \\ = 28$

$\bold{a(4) = {3}^{4} } + 1 \\ \: \: \: \: \: \: \: \: \: \: = 81+ 1 \\ \: = 82$

So, the sequence is

4,10,28,82....

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