Series Sprint

Froggy Jumps

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Arithmetic & geometric series problems

Ernesto Cabuyadao

Philippines

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Series Sprint


Froggy Jumps Series SprintVersion en ligne Arithmetic & geometric series problems par Ernesto Cabuyadao 1 What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...? a 65 b 75 c 60 2 Find the common difference of the arithmetic sequence 7, 13, 19, ... a 6 b 5 c 7 3 What is the 10th term of the arithmetic sequence starting at 4 with difference 3? a 34 b 37 c 31 4 Sum of the first n terms of an AP with a1=6 and d=4 is S_n = n/2(2a1+(n-1)d). What is S_5? a 90 b 70 c 80 5 A geometric sequence has a1=3 and r=2. What is a5? a 48 b 24 c 96 6 What is the sum of the first 6 terms of a geometric series with a1=2 and r=1/2? a 4 b 3.75 c 6 7 Find the sum to infinity of a geometric series with a1=9 and r=1/3. a 13.5 b 12 c 9 8 If the first term of a geometric series is 5 and the sum to infinity exists, what is the condition on r? a r<0 b \|r\|<1 c r>1 9 What is the sum of the infinite geometric series 4 + 2 + 1 + 0.5 + ... ? a 10 b 8 c 6 10 For a finite geometric series with a1=7, r=3, n terms, write the sum formula S_n = ? a S_n = a1+n(d) b S_n = a1(n)/2 c S_n = a1(1-r^n)/(1-r)