Series x Sequence

Multiple Choice

Identify if it is Sequence or Series:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

1/2, 1/4, 1/8, 1/16, 1/32

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

5 + 10 + 15 + 20 + 25 + 30

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

3 + 6 + 9 + 12 + 15

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

1/10, 1/20, 1/30, 1/40, 1/50

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

$$\frac{1}{4}+\frac{1}{8}+\frac{1}{12}+\frac{1}{16}+\frac{1}{20}+\frac{1}{24}$$

• Sequence

• Series

Multiple Choice

Identify if it is Sequence or Series:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

• Sequence

• Series

Multiple Choice

For $$a_n=n+1$$ , find $$a_5$$ .

• 5
• 7
• 10
• 6

Multiple Choice

For $$a_n=n^2+1$$ , find $$a_6$$ .

• 40
• 38
• 37
• 36

Multiple Choice

For $$a_n=\frac{n^2}{2}$$ , find $$a_4$$ .

• 12
• 8
• 10
• 6

Multiple Choice

Find the first five terms of the sequence, $$a_n=2n^2-1$$ .

• [2, 6, 12, 20, 30]
• [0, 5, 12, 21, 32]
• [1, 8, 18, 32, 50]

• [1, 7, 17, 31, 49]

Multiple Choice

Find the first five terms of the sequence, $$a_n=\frac{1}{2^n}$$ .

• [ $$\frac{1}{2},\frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32}$$ ]

• [ $$1,\ \frac{3}{4},\frac{5}{6},\frac{7}{8},\frac{9}{10}$$ ]

• [ $$\frac{1}{5},\frac{1}{10},\frac{1}{15},\frac{1}{16},\frac{1}{20}$$ ]

• [ $$1,\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{5}{6}$$ ]

Multiple Choice

Given $$a_n=n^2$$ , find the value of $$S_5$$ .

• 50

• 55

• 60

• 65

Multiple Choice

Given $$a_n=3n^2-5$$ , find the value of $$S_4$$ .

• 68

• 70

• 72

• 74

Multiple Choice

Determine whether the infinite series converges or diverges.

$$\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}+\frac{1}{256}...$$

• Convergent

• Divergent

Multiple Choice

Determine whether the infinite series converges or diverges.

$$\frac{3}{8}+\frac{7}{8}+\frac{11}{8}+\frac{15}{8}+\frac{19}{8}+\frac{23}{8}+\frac{27}{8}...$$

• Convergent

• Divergent

Multiple Choice

Determine whether the infinite series converges or diverges.

$$\frac{1}{5}+\frac{1}{10}+\frac{1}{15}+\frac{1}{20}+\frac{1}{25}+\frac{1}{30}+\frac{1}{35}...$$

• Convergent

• Divergent

Multiple Choice

Determine whether the infinite series converges or diverges.

$$\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}...$$

• Convergent

• Divergent

Multiple Choice

Determine whether the infinite series converges or diverges.

$$\frac{1}{3}+\frac{4}{3}+\frac{7}{3}+\frac{10}{3}+\frac{13}{3}+\frac{16}{3}+\frac{19}{3}+\frac{22}{3}...$$

• Convergent

• Divergent