Math, asked by shashwatraj12, 1 year ago

what comes next in the series 2,3,6,10,17,28

Answers

Answered by shivam9818
4
46 will be the next no. to come after.

abhisaighal: but how
BrainlyKing5: check My a answer
BrainlyKing5: i mean My Answer
Answered by BrainlyKing5
4
\underline{\textbf{Hey Mate Here Is Your Answer}}

\mathfrak{\bold{Question}}

We Need To Say What Number Comes After In The Series \mathbf{2,3,6,10,17,28...}

Now Let's Move For The Solution..

\textbf{Answer = 46,75...}

\underline{\textbf{Pattern Followed...}}

\textbf{The Sum Of Adjacent Before Number Pair + 1 = Next Number}

In Simple Words The Third

Number Equal To The Sum Of 2 Pair ( before Numbers ) + 1

That Is...

In First Case

\textbf{2 + 1 = 3}

\textbf{(3 + 2 )+ 1 = 6 }

\textbf{(6 + 3)+ 1 = 10}

\textbf{(10 + 6)+ 1 = 17}

\textbf{(17+ 10)+ 1 = 28}

Therefore Next Number Would Be ...

\mathbf{(28 \:+ \:17 \:)+\: 1 \:=\boxed{\bold{46}} }

And Then the Next Number IS

\mathbf{(46\: +\: 28)\:+\: 1 \:=\boxed{ \bold{75}}}

\underline{\textbf{Hence The Required Answer}}

\textbf{2 , 3, 6, 10, 17, 28 \underline{46 , 75} }

\Large{\bold{Thanks...}}
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