This creates another square within the original and this process is continued indefinitely. The sides of a square, l, have lines drawn between them connecting adjoining sides with their midpoints. The 1st book costs 1 dollar, the 2nd, 2 dollars, the 3rd, 4 dollars, and the 4th, 8 dollars, and so on. Find the common ratio, the sum, and the product of the first terms.Ĭompute the sum of the first 5 terms of the sequence:Ĭalculate the product of the first 5 terms of the sequence:
The 1st term of a geometric sequence is and the eighth term is. The second term of a geometric sequence is, and the fifth term is. Exercise 8Ĭalculate the fraction that is equivalent to Exercise 9Ĭalculate the fraction that is equivalent to Calculate the sum of the areas of the infinite squares. This creates another square within the original and this process is continued indefinitely. Geometric Progression Formulas: The nth item at the end of GP, the last item is l, and the common ratio is r l / r (n 1). How much did John pay for the 20 books? Exercise 7 Exercise 3Ĭompute the sum of the first terms of the sequence: Exercise 4Ĭalculate the sum of the terms of the following geometric sequence:Ĭalculate the product of the first 5 terms of the sequence: Exercise 6 Find the common ratio, the sum, and the product of the first terms. For an arithmetic sequence with first term u1 and common difference d, the nth term is un u1 + (n 1) d.
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