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write the first four items of the sequence whose nth term is given by the rule of an=5an+5 ​

Sagot :

BoomestersALEXidn

Answer:

In mathematics, arithmetic progression also known as an arithmetic sequence is define as a sequence of numbers such that the two consecutive terms has a common difference.

Common difference means the second minus the first one.

The given nth term rule or formula is only based form the derivation of the original formula of nth term an= a1 + (n-1)d and d is already provided.

Finding nth term: an= a1 + (n-1)d

Where

an is the nth term

sn is the sum of all terms

a1 is the first term

n is the number of terms

d is the common difference

Problem:

Write the first four term.

1. an =2n-1

a1= 2(1)-1

a1= 1

a2= 2(2)-1

a2= 3

a3= 2(3)-1

a3= 5

a4= 2(4)-1

a4= 7

1, 3, 5, 7

2. an =12-3n

a1= 12-3(1)

a1= 9

a2= 12-3(2)

a2= 6

a3= 12-3(3)

a3= 3

a4= 12-3(4)

a4= 0

9, 6, 3, 0

3.an =3n

a1= 3(1)

a1= 3

a2= 3(2)

a2= 6

a3= 3(3)

a3= 9

a4= 3(4)

a4= 12

3, 6, 9, 12

4.an =5n + 5

a1= 5(1)+5

a2= 10

a2= 5(2)+5

a2= 15

a3= 5(3)+5

a3= 20

a4= 5(4)+5

a4 = 20

5, 10, 15, 20

5.an= 8-2n

a1= 8-2(1)

a1= 6

a2= 8-2(2)

a2= 4

a3= 8-2(3)

a3= 2

a3= 8-2(4)

a3= 0

6, 4, 2, 0

Learn more about arithmetic sequence and solve related word problem here at brainly.ph/question/3153534

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