# Finding the Next Term in an Arithmetic Sequence

This is an MCQ-based quiz for GRE on How To Find The Next Term In An Arithmetic Sequence.

An arithmetic sequence goes from one term to the next by always adding (or subtracting) the same value. The number added (or subtracted) at each stage of the arithmetic sequence is called the common difference.

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The first term in a sequence of integers is 2 and the second term is 10. All subsequent terms are the arithmetic mean of all of the preceding terms. What is the 39th term?

5 600 300 1200 6

Consider the following sequence of integers: 5, 11, 23, 47 What is the 6th element in this sequence?

None of the other answers 189 191 95 93

The sequence  Sn is defined by:
Sn=S(n-1) -21
s1=93
What is S57?

-1104

-1176

-1083

-2014

-3914

The sequence  Sn is defined by:
Sn=S(n-1) +11
s1=201
What is S101?

1111

602

1301

1312

301

The sequence  Sn is defined by:
Sn=S(n-1) +5
s1=14
What is S4?

21

20

41

34

29

In a sequence of numbers, the first two values are 1 and 2. Each successive integer is calculated by adding the previous two and mutliplying that result by 3. What is fifth value in this sequence?

126

129

33

39

The sequence a1+a2+...+an begins with the numbers 3,11,18,... and has the nth term defined as a1+2n+n2, for n≥2.

What is the value of the 20th term of the sequence?

155

220

443

163

460

Quiz/Test Summary
Title: Finding the Next Term in an Arithmetic Sequence
Questions: 7
Contributed by: 