Question

30, 34, 43, 59, 84, 120,? number series solution

Answer 1

30,34,43,59,84,120,169
30+2*2=34
34+3*3=43


84+6*6=120
120+7*7=169

Answer 2

The given series are:

30, 34, 43, 59, 84, 120, ?

We have to find, the value of next number (?) is equal:

Solution:

The pattern follow:

Previous number + $2^{2}$, Previous number + $3^{2}$, Previous number + $4^{2}$, Previous number + $5^{2}$, ........

34 = 30 + $2^{2}$

= 30 + 4 = 34

43 = 34 + $3^{2}$

= 34 + 9 = 43

59 = 43 + $4^{2}$

= 43 + 16 = 59

84 = 59 + $5^{2}$

= 59 + 25 = 84

120 = 84 + $6^{2}$

= 84 + 36 = 120

Similarly,

? = 120 + $7^{2}$

= 120 + 49

= 169

∴ Missing number (?) = 169

Thus, the value of "missing number (?) is equal to 169".