Question

2,8,18,32,50,72,__?__What is the answer? (Give an easy explanation please)

Answer 1

Answer:

98,128

Step-by-step explanation:

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Answer 2

$\sf\red{\underline{\underline{Answer:}}}$

$\sf{Next \ two \ terms \ of \ sequence \ are}$

$\sf{98 \ and \ 128 \ respectively.}$

$\sf\orange{Given:}$

$\sf{The \ given \ sequence \ is}$

$\sf{2, \ 8, \ 18, \ 32, \ 50, \ 72,...}$

$\sf\pink{To \ find:}$

$\sf{Next \ two \ terms \ of \ the \ sequence.}$

$\sf\green{\underline{\underline{Solution:}}}$

$\sf{The \ given \ sequence \ is}$

$\sf{2, \ 8, \ 18, \ 32, \ 50, \ 72,...}$

$\sf{Here, \ the \ sequence \ is \ in \ form \ of}$

$\sf{2n^{2}}$

$\sf\blue{Explanation:}$

$\sf{Let \ n=1}$

$\sf{2(1)^{2}=2,}$

$\sf{Let \ n=2}$

$\sf{2(2)^{2}=8,}$

$\sf{Let \ n=3}$

$\sf{2(3)^{2}=18,}$

$\sf{Let \ n=4}$

$\sf{2(4)^{2}=32,}$

$\sf{Let \ n=5}$

$\sf{2(5)^{2}=50,}$

$\sf{Let \ n=6}$

$\sf{2(6)^{2}=72.}$

$\sf{\therefore{The \ next \ two \ terms \ are:}}$

$\sf{2(7)^{2}=98,}$

$\sf{2(8)^{2}=128.}$

$\sf\purple{\tt{\therefore{Next \ two \ terms \ of \ sequence \ are}}}$

$\sf\purple{\tt{98 \ and \ 128 \ respectively.}}$