Arithmetic Sequences & Series Quiz

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Grade 11 math: sequences & sums

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Joshua De leon

Philippines

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Froggy Jumps Arithmetic Sequences & Series QuizOnline version Grade 11 math: sequences & sums by Joshua De leon 1 In the arithmetic sequence 3, 7, 11, ... the common difference is? a 4 b 6 c 2 2 Find the 12th term of the sequence with a1 = 5 and d = 3. a 5 + 12×3 = 41 b 5 + 12×2 = 29 c 5 + 11×3 = 38 3 If a1 = 10 and d = -2, what is a5? a a5 = 10 + 4(-2) = 2 b a5 = 10 - 2 = 8 c a5 = 10 + 5(-2) = 0 4 Sum of the first n terms of an AP is a Sn = n × (a1 + an) b Sn = n/2 × (2a1 + (n−1)d) c Sn = n × d × a1 5 The n-th term of an AP can be found by a an = a1 + nd b an = a1 − (n−1)d c an = a1 + (n−1)d 6 If a1 = 4, d = 6, what is a10? a a10 = 4 + 10×6 = 64 b a10 = 4 + 8×6 = 52 c a10 = 4 + 9×6 = 58 7 The sum of the first 20 terms with a1 = 3 and d = 2 is? a S20 = 20/2 × (3 + 19×2) = 10 × (3 + 38) = 410 b S20 = 20 × (3 + 21) = 480 c S20 = 20/2 × (2×3 + 19×2) = 10 × (6 + 38) = 440 8 If the sum of an AP's first 7 terms is 91 and a1 = 5, find d. a d = 3 b S7 = 7/2 × (2×5 + 6d) = 91 → 7(10 + 6d) = 182 → 10 + 6d = 26 → d = 2.4 c d = 2 9 Which of the following is true for any AP? a The sum is always zero b The average of first and last term equals the average of the entire sequence when finite c The common difference equals the first term 10 If a1 = 20, an = 80, find d and n for which an = a1 + (n−1)d. a With a1 = 20, an = 80 ⇒ 80 = 20 + (n−1)d ⇒ 60 = (n−1)d b d = 60, n = 2 c n = 60, d = 1

Froggy Jumps

Arithmetic Sequences & Series QuizOnline version

Grade 11 math: sequences & sums

by Joshua De leon

In the arithmetic sequence 3, 7, 11, ... the common difference is?

Find the 12th term of the sequence with a1 = 5 and d = 3.

5 + 12×3 = 41

5 + 12×2 = 29

5 + 11×3 = 38

If a1 = 10 and d = -2, what is a5?

a5 = 10 + 4(-2) = 2

a5 = 10 - 2 = 8

a5 = 10 + 5(-2) = 0

Sum of the first n terms of an AP is

Sn = n × (a1 + an)

Sn = n/2 × (2a1 + (n−1)d)

Sn = n × d × a1

The n-th term of an AP can be found by

an = a1 + nd

an = a1 − (n−1)d

an = a1 + (n−1)d

If a1 = 4, d = 6, what is a10?

a10 = 4 + 10×6 = 64

a10 = 4 + 8×6 = 52

a10 = 4 + 9×6 = 58

The sum of the first 20 terms with a1 = 3 and d = 2 is?

S20 = 20/2 × (3 + 19×2) = 10 × (3 + 38) = 410

S20 = 20 × (3 + 21) = 480

S20 = 20/2 × (2×3 + 19×2) = 10 × (6 + 38) = 440

If the sum of an AP's first 7 terms is 91 and a1 = 5, find d.

d = 3

S7 = 7/2 × (2×5 + 6d) = 91 → 7(10 + 6d) = 182 → 10 + 6d = 26 → d = 2.4

d = 2

Which of the following is true for any AP?

The sum is always zero

The average of first and last term equals the average of the entire sequence when finite

The common difference equals the first term

If a1 = 20, an = 80, find d and n for which an = a1 + (n−1)d.

With a1 = 20, an = 80 ⇒ 80 = 20 + (n−1)d ⇒ 60 = (n−1)d

d = 60, n = 2

n = 60, d = 1

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Arithmetic Sequences & Series Quiz

Froggy Jumps

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Arithmetic Sequences & Series QuizOnline version

by Joshua De leon

In the arithmetic sequence 3, 7, 11, ... the common difference is?

Find the 12th term of the sequence with a1 = 5 and d = 3.

If a1 = 10 and d = -2, what is a5?

Sum of the first n terms of an AP is

The n-th term of an AP can be found by

If a1 = 4, d = 6, what is a10?

The sum of the first 20 terms with a1 = 3 and d = 2 is?

If the sum of an AP's first 7 terms is 91 and a1 = 5, find d.

Which of the following is true for any AP?

If a1 = 20, an = 80, find d and n for which an = a1 + (n−1)d.

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