Question

Calculate s4 for the sequence defined by {a_n}={19-4n}.

Answer 1

Answer:

$S_{4}$ = 36

Step-by-step explanation:

generate the first 4 terms of the sequence using the rule

$a_{1}$ = 19 - 4 = 15

$a_{2}$ = 19 - 8 = 11

$a_{3}$ = 19 - 12 = 7

$a_{4}$ = 19 - 16 = 3

Hence $S_{4}$ = 15 + 11 + 7 + 3 = 36

Answer 2

The $s_4$ term for the sequence is 36.

We have to calculate s4 for the sequence defined by {a_n}={19-4n}.

According to the question,

The given nth term of the sequence is,

$\rm a_n = 19-4n$

Where n is the number of the term.

The first term of the sequence is,

$\rm a_1= 19-4(1)\\\\ a_1 = 19-4\\\\a_1 = 15$

The second term of the sequence is,

$\rm a_2= 19-4(2)\\\\ a_2= 19-8\\\\a_2= 11$

The third term of the sequence is,

$\rm a_3= 19-4(3)\\\\ a_3= 19-12\\\\a_3 = 7$

The fourth term of the sequence is,

$\rm a_4= 19-4(4)\\\\ a_4 = 19-16\\\\a_4= 3$

Therefore,

The $s_4$ for the sequence is,

$\rm s_4= a_1+a_2+a_3+a_4\\\\s_4 = 15+11+7+3\\\\s_4 = 36$

Hence, The $s_4$ term for the sequence is 36.

To know more about the Arithmetic progression click the link given below.

https://brainly.com/question/2263981