Arithmetic Sequences & Series Quiz

Froggy Jumps

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Grade 11 math: sequences & sums

Joshua De leon

Philippines

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Arithmetic Sequences & Series Quiz


Froggy Jumps Arithmetic Sequences & Series QuizVersion en ligne Grade 11 math: sequences & sums par 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