3 years ago

Which number comes next in this series: 2, 3, 4, 8, 9, 10, 20, 21, 22,?

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

3 0

44

The pattern is +1,+1,x2

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The given series is

$\sum_{k=3}^5( - 2k + 5)$

This series is finite.

The expanded form is

$\sum_{k=3}^5( - 2k + 5) = ( - 2 \times 3 + 5) + ( - 2 \times 4 + 5) + ( - 2 \times 5 + 5)$

This simplifies to

$\sum_{k=3}^5( - 2k + 5) = ( - 6 + 5) + ( - 8+ 5) + ( - 10+ 5)$

$\sum_{k=3}^5( - 2k + 5) = ( - 1) + ( - 3) + ( - 5)$

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