Question

Find the next term in the series: 3,6,9,18,27,59 ___ ?

Answer 1

+3 ,+3,+9,+9,+32

so next us +32

is 59+32=91

Answer 2

Concept:

In arithmetic, a succession is a numbered collection of objects where recurrence are allowed and order matters. It is a member of a set and has participation (also called elements, or terms). The quantity of pieces affects how long the series lasts. Unlike with a set, a sequences may contain the same things over and over again at different locations, because unlike a set, the sequence's order is crucial. Formally, a sequence is defined as a functionality from integer values positions (where the sequence's components are located) to the things that are present in each of those locations.

Given:

The following term in the series is: 3,6,9,18,27,59 ___ ?

Find:

find the next term

Solution:

An arithmetic sequence always adds (or subtracts) the same amount to go from one term to the next.

The common difference is the amount that is added (or removed) at each step of the arithmetic sequence.

Finding the common difference, or the constant rate of change between values in an arithmetic sequence, is the first step in determining the remaining terms in the sequence. Once you are aware of the typical distinction, you can utilize it to locate the following phrases.

A series that grows with each addition or subtraction of a specific constant, k, is said to be mathematical. Each term in a geometric sequence is raised by either multiplication by or reducing by a specific variable, k.

step-by-step explanation:

given series: $3,6,9,18,27,59$

$3+3 = 6\\6+3 = 9$

$9+9 = 18\\18 + 9 = 27$

$27+32=59\\59+32=91$

Therefore the sequence is $3,6,9,18,27,59,91$

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