Answer:
3,7,11,15,__
As it can be seen as, every term in this series is incremented by 4.
\begin{gathered}3+4=7\\7+4=11\\11+4=15\\15+4=19\end{gathered}
3+4=7
7+4=11
11+4=15
15+4=19
Hence, 19 will continue the series.
5,9,17,33,\_\_5,9,17,33,__
As it can be seen as, every term in this series is multiplied by 2 and then subtracted by 1.
\begin{gathered}5\times2-1=9\\9\times2-1=17\\17\times2-1=33\\33\times2-1=65\end{gathered}
5×2−1=9
9×2−1=17
17×2−1=33
33×2−1=65
Hence, 65 will continue the series.
20,12,8,6,\_\_20,12,8,6,__
As it can be seen as, every term in this series subtracts the power of 2.
\begin{gathered}20-2^3=12\\12-2^2=8\\8-2^1=6\\6-2^0=5\end{gathered}
20−2
3
=12
12−2
2
=8
8−2
1
=6
6−2
0
=5
Hence, 5 will continue the series.
2,8,26,80,\_\_2,8,26,80,__
As it can be seen as, every term in this series is multiplied by 3 and then added by 2.
\begin{gathered}3\times3+2=8\\8\times3+2=26\\26\times3+2=80\\80\times3+2=242\end{gathered}
3×3+2=8
8×3+2=26
26×3+2=80
80×3+2=242
Hence, 242 will continue the series.
36,69,135,267,\_\_36,69,135,267,__
As it can be seen as, every term in this series is multiplied by 2 and then subtracted by 3.
\begin{gathered}36\times2-3=69\\69\times2-3=135\\135\times2-3=267\\267\times2-3=531\end{gathered}
36×2−3=69
69×2−3=135
135×2−3=267
267×2−3=531
Hence, 531 will continue the series.
Step-by-step explanation:
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