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Arithmetic and Geometric, Sequences and their Summation, , Exercise |, , Multiple Choice Questions, , 1., , If the general term of a sequence is, , = find the 3rd term of the sequence., , A 2, 1, ” |, 1, - %, b. 3, , Which of the following is the general term, T(n) of the sequence 1, 4, 27, 256, ...?, , AL n, , Bon, , ic, a, , D. nt, , Which of the following is not an, arithmetic sequence?, , A. 11,2,-8,-19, ..., , By 4310, 13; cc, , C., $781, 45,39..., , BD. -3,-3,-7,-B, , If the common difference of an, , arithmetic sequence is 4 and 7(6) = 15,, find the first term of the sequence., , A. -9, B. -5, , i, Gs, , oS, we, wn, , , , Name:, Date :, Mark :, , Given an arithmetic sequence —11, 2, 15,, ...y if TU) is the first term that exceeds, 200, find the value of m., , A. 16, B. 17, Cc. 18, D. 19, , It is given that p, g, r,s, tare in, , arithmetic sequence. If p+ q +r = 9, and s +1 = 26, find the first term and, the common difference of the sequence., , First term Common difference, , A. 4 -I, B. 4 1, Cc. =I 4, D. 1 4, , Which of the following are in geometric, sequence?, s, , sao, , x, , [1, , L 4,, eta, , IL. log x, log x°, log x’, ..., Land II only, , land III only, , I and III only, , 1, Il and Ul, , pom>
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10., , If the common ratio of a geometric, sequence a, b,c, .., is R, the common, ratio of another geometric sequence, , o, |, , Which of the following geometric, sequences have the same common ratio?, , I ab,—,..., , A. Land Il only, B. Land IIL only, C. Iand Il only, , D. I, Mand Ill, Ifx°, 4x + 3, 25 are in geometric, sequence, find the values of x., , 1, ~ “|, B Z or-3, , " @, 3, , dD. = 2 or3, , 3, , , , 14 = Arithmetic and Geometric Sequences and their Summation =, , 11., , 12., , 13., , 14., , , , Find the number of terms of the, , , 1 1 4, geometric sequence >, x x”, , cosy L, where x # 0, i, A. Sy+10, B. 10, , c. +2, D. y+3, , Find the three arithmetic means between, xand y., , a. 228 2% 2-t, ao" we * 2, B. ey ity Ses, , Cc. —. 4,, , 2, , p, -22t2 x+y _xt3y, , 4° 2° 4, If. is the arithmetic mean between, ~(x + 3) and 5x + 1, find the values of x., A: 1, B. -lorl, Cc. -lord, D. -1, , If a, b, ¢ are in arithmetic sequence,, , which of the following MUST be true?, , I. 4a4+5,46+5, 4c +5 are in, arithmetic sequence., , ul pate, , , , Ill. a’, b,c are in arithmetic sequence., land II only, , 1 and III only, , Il and III only, , I, Hand III, , cCaoR>
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Cee ce), , 15., , 16., , 17,, , 18., , If d, and d, are the common differences, of the two arithmetic sequences, , G, XjpXqy o--y gy 6 ANd A, Vy, Vy 00-2 Yn, respectively, find d, : d,., , A. 3:2, , B Si?, , Cc. 4:3, , Di F235, , If three geometric means are inserted, between a and 4, find the 2nd geometric, , D. ab‘ or -a*b*, , If -3x + 6 is the geometric mean, between the integers x* + 2 and 2, find, the values of x., , A. -2or4, , B. 4, , 8, ic, 7 or4, , D. -4orl, , If at least three positive geometric means, are inserted between 2 and 162 with, common ratio 2, find the range of, possible values of R,, , R23, , 1<Rs3, , Rs-3, , Rs3, , oCaF >, , , , 19. Which of the following MUST be true if, , x,y, z are in geometric sequence?, , L a 5 + are in geometric, sequence., , Il. log y is the arithmetic mean, between log x and log =., , I, 3"**, 3°’, 3° are in geometric, , sequence., , land II only, , 1 and III only, , II and III only, , 1, Hand It, , SOF >, , If the general term of an arithmetic, sequence is T(n) = 7 — 3m, find the, sum of the first 7 terms of the sequence., A. -56, , -35, , 4, , 210, , cof
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14 = Arithmetic and Geometric Sequences and their Summation =, , 2 Find the sum of the integers between 24. How many terms of the arithmetic series, , 301 and 400 inclusive that are multiples . 2 it :, >+=+- +... must be taken in order, , of 4. 6° 3° 2, A. 8400 to obtain a sum of ~ "29, B. 8800 A. 33, Cc. 20200 B. 34, D. 49900 Cc =, , 22 Find the sum of the arithmetic series D. 36, , (y+(atjere en 2§/ Find the sum of the first 7 terms of the, 2 . geometric series 0.25 + 0.75 +2.25+..., , x si A. 91, é B. 182.25, il C. 273.25, c 383 D. 546.25, p. 2364, 2, , 23 > Which of the following arithmetic series, have a sum greater than 100?, IL (-3)+(-D +l +... +19, Il. log 1 + log 10+ log 100+..., + log 10'°, 1 7, , 1 and II only, land II only, Il and III only, 1, Wand Il, , oO RB >
