Question

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

Answer 1

Answer:

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

$\huge\boxed{\bf\:a_{72} = 217}$

Step-by-step 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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