Question

13 14 18 27 ? 68 104​

Answer 1

The missing term in 13 14 18 27 ? 68 104​ is 43

Solution:

Given that the series is 13 14 18 27 ? 68 104​

Difference between second term and first term = 14 – 13 = 1 = 1 $\times$ 1 = $1^{2}$

Difference between third term and second term = 18 – 14 = 4 = 2  $\times$ 2 = $2^{2}$

Difference between fourth term and this term = 27 – 18 = 9 = 3  $\times$ 3 = $3^{2}$

So difference between fifth term and fourth term = 4  $\times$ 4 = 16

=> fifth term = fourth term + 16 = 27 + 16 = 43

And to check the logic sixth term – fith term  = 68 – 43 = 25 = $5^{2}$

Hence missing term is 43.

Answer 2

Answer:

$\red { Missing \: term }\green { = 43}$

Step-by-step explanation:

$Given \: sequence : \\13 \: 14 \: 18 \: 27 \: \red {?}\: 68\: 104$

\* By observations , we know that

$First \:term = \pink { 13}$

$Second \: term = \pink {13} + \green {1^{2}} = 13+1 = \pink {14}$

$Third \: term = \pink {14} + \green {2^{2}} = 14+4 = \pink {18}$

$Fourth\: term = \pink {18} + \green {3^{2}} = 18+9= \pink {27}$

$Fifth \: term = \pink {27} + \green {4^{2}} = 27+16 = \pink {43}$

$Sixth \: term = \pink {43} + \green {5^{2}} = 43+25= \pink {68}$

Therefore.,

$\red { Missing \: term }\green { = 43}$

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