Question

0.5,1.5,5,18,76,? Missing number series

Answer 1

The next number is 385.

Step-by-step explanation:

Consider the provided series.

0.5, 1.5, 5, 18, 76,?

Observe the pattern.

0.5 × 1 + 1 = 1.5 (Which is the next number after 0.5)

1.5 × 2 + 2 = 5 (Which is the next number after 1.5)

5 × 3 + 3 = 18 (Which is the next number after 5)

18 × 4 + 4 = 76 (Which is the next number after 18)

If we follow the same pattern we can find the next number of the series.

76 × 5 + 5 = 385 (Which is the next number after 76)

Hence, the next number is 385.

#Learn more

Find the number which does not belong to the sequence 7,15,31,68,127​

brainly.in/question/14756657

Answer 2

Answer:

$\red { Next \: term } \green {= 385}$

Step-by-step explanation:

$Given \: series \: 0.5,1.5,5,18,76 , _$

/* Observe the pattern of the series, we conclude that

$First \: term = \pink {0.5}$

$Second \:term = \pink {0.5 } \times 1 + 1\\ = 0.5+1\\= \pink {1.5}$

$Third \:term = \pink {1.5}\times 2 + 2 \\= 3 + 2 \\= \pink {5}$

$Fourth \:term = \pink {5}\times 3 + 3 \\= 15 + 3 \\= \pink {18}$

$Fifth \:term = \pink {18}\times 4+ 4 \\= 72 + 4 \\= \pink {76}$

$Next \:term = \pink {76}\times 5 + 5 \\= 380 + 5 \\= \pink {385}$

Therefore.,

$\red { Next \: term } \green {= 385}$

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