Question

plssss answer the 12 question in the following

Answer 1

Answer:

$Option \pink { ( a ) } \: is \: correct$

Step-by-step explanation:

$Given \: S_{n} = 2n^{2} + 7$

$\boxed {\pink {n^{th} \: term (t_{n}) = S_{n} - S_{n-1}}}$

$= 2n^{2} + 7 - [2(n-1)^{2} + 7 ]$

$= 2n^{2} + 7 - [2(n^{2} - 2n + 1) + 7 ]\\= 2n^{2} + 7 - [2n^{2} - 4n + 2 +7 ]\\= 2n^{2} + 7 - 2n^{2} + 4n - 9 \\= 4n - 2$

Therefore.,

$Option \pink { ( a ) } \: is \: correct$

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