Arithmetic Sequence and Series

1276

Calculate the product of the third and fourth terms of the sequence Tn=2[2+3^(n-1)].

14

Find the number of terms in the AP 2,-9,-20,........,-141

300

Find the sum of the first 10 terms: 3, 9, ..., 54

30000

Find the sum of the first 100 terms: 3, 9, 15,...

30

Find the value of m+n from the sequence 1x5, 3x9, 5x13, 7x17, mxn...

x=8 and y=13

If 3, x, y, 18 are in AP, find the values of x and y.

10

If 6, p, and 14 are consecutive terms in an AP, find the value of p.

54

If Sn=2n^2-3n, evaluate S6.

Representation of a series in a compact form.

Summation or sigma notation

19

The fourth term of a Linear Sequence is 37 and the first term is -20. Find the common difference.

a=2

The fourth term of an Arithmetic Progression (AP) is one less than twice the second term. If the sixth term is 7. Find the first term.

127

The nth term of the sequence 5, 8, 11, .......is 383. Find n.

-52

What is the 33rd term of the sequence: 108, 103, 98...?

129

What is the 7th term of the sequence: 3, 24, 45,... ?

21

What is the common difference of: 3, 24, 45,... ?

26

What is the next number in the sequence 2,5,10,17.....

Arithmetic Sequence

a sequence where the difference between each term is the same. The pattern involves either adding or subtracting to get the next term.

Sequence

an ordered list of numbers

Common Difference

the constant increase/decrease between each term in a particular sequence.

Term or element

the numbers in a sequence