Elements of Finite Differences; Also Solutions to Questions Set for the Examinations of the Institute of Actuaries
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Elements of Finite Differences; Also Solutions to Questions Set for the Examinations of the Institute of Actuaries

Elements of Finite Differences; Also Solutions to Questions Set for the Examinations of the Institute of Actuaries


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 Excerpt: ...Paper, No. 4. 213. If three quantities are in A.P., find under what circumstances the second wi! have to the first a greater ratio than the third has to the second. 1887, April.--1st Paper, No. 7. 214. Prove that the sum of the (ot + -)th and the (m---)th terms of au Arithmetical Progression is equal to twice the mth term. Sum the series--1 + 11 + 1H + 1111 + 1H11+... to - terms. 1894.--1st Paper, No. 4. 215. When are series said to be in arithmetic progression, geometric progression, and harmonic progression respectively? 2 j. 2 If a, b, c be positive integers, and ah, hoc, ci be in G.P., 2 12 show that ab-, Ja-c, cif are also in G.P. 1888, April.--1st Paper No. 8. 216. If a, b, c, d are in G.P., prove that--(a + b + c+dy=(a + by+(c + dy+2(b + c)2. Sum to n terms the series--# + 2#2+3#3 + 4#+... 1902. 2nd Paper, No. 16. 217. Sum to n terms the series--11 1 1+/v2 ' 3 + 2a/2 ' 7 + 5V2 1891, April.--2nd Paper, No. 19. 218. The sum of 2- terms of a Geometric Progression whose first term is a and common ratio r, is equal to the sum of n terms of a Geometric Progression whose first term is b and common ratio r2. Prove that b is equal to the sum of the first two terms of the first series. 1888, Oct.--1st Paper, No. 8. 219. (a) Find the sum of n terms of a G.P. whose 1st term is a, and whose common ratio is r. (b) If r be 1, deduce the sum of an infinite number of terms of the progression. (c) If the )th term of an A.P. be-and the th term be-, q p prove the sum of pq terms is i (pq + 1). 1895.--1st Paper, No. 4. 220. Find the -th term of an Harmonical Progression whose first two terms are a and b. If a, b, c, d are four unequal quantities in harmonical progression, and if d, a, b, c are in proportion, prove that 3- + c=0. 1901.--2nd P...


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Product Details
  • ISBN-13: 9781236442833
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 30
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1236442830
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 73 gr


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Elements of Finite Differences; Also Solutions to Questions Set for the Examinations of the Institute of Actuaries
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