Question

The next term of the sequence 1, 3, 4, 8, 15, 27, ____ is

Answer 1

48 is the right answer
3*5=15 which is (4+1)3
3*9=27 which is (8+1)3
and therefore 3*16=48 which is (15+1)3.

Answer 2

$\textbf{Sequence : 1 , 3 , 4 , 8 , 15 , 27 }$



$\textbf{This sequence is based on the First two terms , }$



$\textbf { \textit{First two terms = 1 , 3 }}$




Sequence, after first two terms,


Third term = 4

$Sum \: of \: two \: terms = 4 \: \: \: \: \: \: \: \: \: \: \: \: (as \: there \: is \: no \: third\: term \: before \: 4)$


1 + 3 = 4



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Fourth term = 8

Sum of 3 previous terms = 8

1 + 3 + 4 = 8

8 = 8



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Fifth term = 15

Sum of previous three terms = 15

3 + 4 + 8 = 15

15 = 15



$\mathbf{< - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - > }$


Sixth term = 27

Sum of previous three terms = 27

4 + 8 + 15 = 27

27 = 27



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$\textbf{ \textit{ \underline{Similarity, }}}$




Next term

=> sum of previous three terms

=> 8 + 15 + 27

$\textbf{=> 50 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [ Answer ] }$