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Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{2, 6, 10, 14, 18, . . . }

Respuesta :

MrRoyal

The formula for the general term of the sequence is Tn = 4n - 2

How to determine the formula?

The sequence is given as:

{2, 6, 10, 14, 18, . . . }

The above sequence is an arithmetic sequence with the following features:

  • First term, a = 2
  • Common difference, d = 4 i.e. 6 - 2

The formula for the general term is calculated using:

Tn = a + (n - 1) * d

This gives

Tn= 2 + (n - 1) * 4

Expand

Tn = 2 + 4n - 4

Evaluate the like terms

Tn = 4n - 2

Hence, the formula for the general term of the sequence is Tn = 4n - 2

Read more about sequence at:

https://brainly.com/question/21961097

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