Sequences and Series Core 10.1/10.2

What is the next term in the sequence 1, 4, 9, 16, 25, ...?

• 34
• 36
• 39
• 41

Tags

CCSS.HSF.BF.A.2

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + . . . 737 ?

Find the next three terms in the sequence: -15, -12, -9, -6, -3, ...

• 0, 3, 6
• 3, 6, 9
• 6, 10, 14
• 8, 12, 16

Tags

CCSS.HSF.BF.A.2

a_n = -3ⁿ + 4, will produce the sequence:

• {1, 13, -23, 85. . .}

• {1, -5, -23, -77. . .}

• {1, -2, -5, -8...}

• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

(a)   ​

• converges to 1/5
• converges to 0
• diverges
• converges to 3/2
• converges to 3/5
• converges to 1/2

(a)   ​

• converges to -5
• diverges
• converges to 0
• converges to 5/3
• converges to 5
• converges to 4/3
• converges to 4
• converges to -4

The sequence {4, 16, 64, 256 . . .}

• converges

• diverges

The sequence {100, 50, 25, 12.5 . . .}

• diverges

• converges

S₄ =

a_n = 2n² + 1

Tags

CCSS.HSF.BF.A.2

The common difference of this arithmetic sequence {19,16,13,10}

Tags

CCSS.HSF.BF.A.2