Graph the first six terms of a sequence where a1 = 3 and d = −10.

Asked by maham237 @ 02/12/2020 in Mathematics viewed by 334 People

Answered by maham237 @ 02/12/2020

Answer:

3, -7, -17, -27, -37, -47

Step-by-step explanation:

Given: First term: a= 3 and Common Difference, d = -10

We need to find the first six term of the sequence.

Formula: $a_n=a+(n-1)d$

where,

$a_n$ nth term of series

a is first term

n is number of term

d is common difference

For Second term, n=2

$a_2=3+(2-1)(-10) = 3-10=-7$

For Third term, n=3

$a_3=3+(3-1)(-10) = 3-20=-17$

For Fourth term, n=4

$a_4=3+(4-1)(-10) = 3-30=-27$

For Fifth term, n=5

$a_5=3+(5-1)(-10) = 3-40=-37$

For Sixth term, n=6

$a_6=3+(6-1)(-10) = 3-50=-47$

Hence, The sequence is 3, -7, -17, -27, -37, -47

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