Arithmetic Progressions Challenge

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A quick AP quiz to test pattern rules

Siddhant Gupta

India

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Arithmetic Progressions Challenge


Arithmetic Progressions ChallengeOnline version A quick AP quiz to test pattern rules by Siddhant Gupta 1 What is the nth term of an AP with first term a and common difference d? a a_n = a + n b a_n = a + n d c a_n = a + (n + 1) d d a_n = a + (n - 1) d 2 If a = 8000 and the common difference d = 500, what is the 5th term (a_5)? a 9000 b 10000 c 9500 d 10500 3 What is the sum of the first n terms of an AP? a S_n = (n/2)[a + (n-1)d] b S_n = nd c S_n = (n/2)[2a + (n-1)d] d S_n = n[a + d] 4 Given a_3 = 600 and a_7 = 700, find the first term a and common difference d. a a = 600, d = 25 b a = 575, d = 25 c a = 550, d = 25 d a = 600, d = 20 5 The AP 5, 11, 17, ... has term 301. Is 301 a term? a No, not a term b Yes, it is the 21st term c Yes, it is the 31st term d Yes, it is the 41st term 6 If an AP has last term l and first term a, what is another form for the sum of first n terms? a S_n = n(a + l) b S_n = (n/2)(a - l) c S_n = (n/2)(a + l) d S_n = (2n)(a + l) 7 What is a_10 for the AP with a_1 = 3 and d = 1? a 10 b 11 c 12 d 13 8 For AP 21, 18, 15, ..., what is the 35th term? a -96 b -101 c -81 d -74 9 If the sum of first 4 terms and the sum of first 13 terms of an AP are both 78, which AP is it? a An AP with a = 5 and d = 5 b An AP with a = 6 and d = 3 c An AP with a = 7 and d = 2 d An AP with a = 8 and d = 4 Feedback 1 false 2 false 3 false 4 false 5 false 6 false 7 false 8 false 9 false