Question

4,5,9,18,34,____find the series.

Answer 1

the series is
4+1^2, 5+2^2, 9+3^3, 18+4^2
so, the next term will be
34+5^2=34+25=59 and add 6^2 to 59 u will get the next term.
hope this helps.

Answer 2

Given:

We have given the series which is 4,5,9,18,34.

To Find:

We will find the next term of the series?

Step-by-step explanation:

• We have given the series which is 4,5,9,18,34.
• Firstly we will try to establish the relationship between the terms os the given series.

• On observing the given series we notice that the second term can be written as the first term plus a square of 1.
• The third term of the series can be written as the sum of the second term and the square of 2.
• The fourth term can be written as the sum of third term and the square of 3.
• The fifth term of the given series has the pattern same as above
• Thus the series can be written as

       $4+1^2=5\\5+2^2=9\\9+3^2=18\\18+4^2=34$

• In the same pattern next term of the series will be written as

       $34+5^2=59$

Hence, the next term in the series is 59.