Arithmetic Sequence

Is it Arithmetic?What is the Common Difference?

100

35, 32, 29, 26, ....

Yes, d=-3

200

-3, -23, -43, , -63, ...

Yes, d=-20

300

-34, -64, -94, -124, ...

Yes, d=-30

400

2/3, 1/6, -1/3, -5/6, ...

Yes d=-1/2

500

-1/6, 4/3, 17/6, 13/3, ...

Yes d=3/2

Given the Explicit Formula, Find the nth Term

100

a(n)=-11+7n

Find a(34)

227

200

a(n)=65-100n

Find a(39)

-3835

300

a(n)=-7.1-2.1n

Find a(27)

-63.8

400

a(n)=11/8+1/2n

Find a(23)

103/8

500

a(n)=1/2n+1/3

Find a(15)

47/6

Given the sequenceWrite the Explicit Formula

100

35, 32, 29, 26, ....

a(n)=3n+38

200

-3, -23, -43, , -63, ...

a(n)=-20n+17

300

-34, -64, -94, -124, ...

a(n)=-30n-4

400

2/3, 1/6, -1/3, -5/6, ...

a(n)=-1/2n+7/6

500

-1/6, 4/3, 17/6, 13/3, ...

a(n)=3/2n-5/3

Given the first term and the Common Difference, Write the Explicit Formula

100

a(1)=28, d=10

a(n)=18+10n

200

a(1)=-38, d=-100

a(n)=62-100n

300

a(1)=-34, d=-10

a(n)=-24-10n

400

a(1)=-9.2 d=0.9

a(n)=.9n-10.1

500

a(1)=3/5 d=-1/3

a(n)=-1/3n+14/15

Given an nth Term and Common Differnce, Write the Explicit Formula

100

a(22)=-44 d=-2

a(n)=-2n

200

a(5)=24 d=7

a(n)=-11+7n

300

a(3)=23/8 d=1/2

a(n)=11/8+1/2n

400

a(4)=-15.5 d=-2.1

a(n)=-7.1-2.1n

500

a(3)=-2/5 d=-1/3

a(n)=-1/3n+3/5