Question

missing series. 30, ? , 130, 210, 350, 504​

Answer 1

The given series:

30, ? , 130, 210, 350, 504​

We have to find, the value of missing number (?) in the given series.

Solution:

The pattern follow:

$3^{3} +3,$ $4^{3} -4,$ $5^{3} +5,$ $6^{3} -6,$ $7^{3} +7,$ ..............

30 = $3^{3} +3$

    = 27 + 3 = 30

? = $4^{3} -4$

⇒ ?  = 64 - 4

⇒ ?  = 60

130 = $5^{3} +5$

    = 125 + 5 = 130

210 = $6^{3} -6$

    = 216 - 6 = 210

350 = $7^{3} +7$

    = 343 + 7 = 350

504 = $8^{3} -8$

    = 512 - 8 = 504

∴ Missing number (?) = 60

Thus, the value of "missing number (?) is equal to 60".

Answer 2

Given:

30, ? , 130, 210, 350, 504

To find:

The missing series.

Solution:

From given, we have the data as follows.

The series is, 30, ? , 130, 210, 350, 504

We will compute the each term of the series one by one. So, we have,

30 = 3³ + 3 = 27 + 3 = 30

? = 4³ - 4 = 64 - 4 = 60

130 = 5³ + 5 = 125 + 5 = 130

210 = 6³ - 6 = 216 - 6 = 210

350 = 7³ + 7 = 343 + 7 = 350

504 = 8³ - 8 = 512 - 8 = 504

Therefore, the missing term of the series,  30, ? , 130, 210, 350, 504 is 60.

Therefore, the series is  30, 60 , 130, 210, 350, 504