Number Series Questions Answer

Given series is 5, 11, 17, 23, 31
it shows every other prime number

$begin{aligned} 5 &text{ Skip } 7 \ 11 &text{ Skip } 13 \ 17 &text{ Skip } 29 \ 23 &text{ Skip } 29 \ 31 &text{ Skip } 37 \ 41 end{aligned}$

the missing number will be 41

$begin{aligned} &2^3 + 3 = 8 + 3 = 11 &3^3 + 4 = 27 + 4 = 31 &4^3 + 5 = 64 + 5 = 69 &5^3 + 6 = 125 + 6 = 131 &6^3 + 7 = 216 + 7 = 223 &7^3 + 8 = 343 + 8 = boxed{351} end{aligned}$

Number in the series are

$begin{aligned} &1^2 + 11 = 12 &2^2 + 11 = 15 &3^2 + 11 = 20 &4^2 + 11 = 27 &5^2 + 11 = 36 &6^2 + 11 = boxed{47} end{aligned}$

$begin{aligned} 5 + 2^2 &= 9 9 + 3^2 &= 18 18 + 4^2 &= 34 34 + 5^2 &= 59 59 + 6^2 &= 95 95 + 7^2 &= boxed{144} end{aligned}$

$begin{aligned} 65 + 5 &= 70 \ 70 + 7 &= 77 \ 77 + 9 &= 86 \ 86 + 11 &= 97 \ 97 + 13 &= boxed{110} end{aligned}$

$begin{aligned} &1 + (2 times 3) = 7 \ &7 + (6 times 4) = 31 \ &31 + (24 times 4) = boxed{127} end{aligned}$