2, 6, 10, 15, ...

O Arithmetic
O Geometric
O Neither


Given:

The sequence is:

2, 6, 10, 15,...

To find:

Whether the given sequence is Arithmetic, Geometric, Neither.

Solution:

We have,

2, 6, 10, 15,...

Different between consecutive terms are:

Since , therefore the given sequence has no common difference. It means it is not an arithmetic sequence.

Ratio of consecutive terms are:

Since , therefore the given sequence has no common ratio. It means it is not a geometric sequence.

Since the given sequence is neither arithmetic nor geometric, therefore the correct option is C.

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step-by-step explanation:

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answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.