Question

An equation for 72th term in 4,7,10,13

Answer 1

`\huge\boxed{\bf\:Equation: a_(72) = 4 + (72 - 1)3}`

`\huge\boxed{\bf\:a_(72) = 217}`

Explanation:

Let the series be: 4, 7, 10, 13,.....

Given,

• First term (a) = 4
• Common difference (d) =
  `a_(2) - a_(1) = 7 - 4 = \bf\:3`
• Number of terms (n) = 72
• 
  `72^(nd)` term of the series (
  `a_(72)`) = ?

We know that,

`\bf\:a_(n) = a + (n - 1)d`

Equation for the
`72^(nd)` term of the series,

`\boxed{\bf\:a_(72) = 4 + (72 - 1)3}`

By using this formula & substituting the values,

`a_(72) = 4 + (72 - 1)3\\a_(72) = 4 + (71)3\\a_(72) = 4 + 213\\\boxed{\bf\:a_(72) = 217}`

•°• The
`72^(nd)` term of the series is 217.

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