Question

Find the missing term in the series given below. 74, 75, 78, 86, 102, 129,?​

Answer 1

170 is the missing term in the series. Therefore the given series is $\[74,75,78,86,102,129,170\]$

Step by step Explanation:

The given series $\[74,75,78,86,102,129,?\]$

The Difference between the second number and first number in the series,

$\[75-74=1\]$

$\[78-75 =3\]$

$\[86-78=8\]$

$\[102-86=16\]$

$\[129-102=27\]$

The First difference series is $\[1,3,8,16,27,?\]$

The Second difference between the second number and first number in the series,

$\[3-1=2\]$

$\[8-3=5\]$

$\[16-8=8\]$

$\[27-16=11\]$

Second difference series is$\[2,5,8,11,?\]$

$\[5-2=3\]$

$\[8-5=3\]$

$\[11-8=3\]$

Therefore the common difference is 3

To find the missing number in series,

$\[11+3=14\]$

$\[14+27=41\]$

$\[129+41=170\]$

Hence the missing term is 170.

Answer 2

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