geometric sequence examples with solutions

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. 3.If a number is added to 2, 16 and 58, it results in first 3 geometric. 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: 2.Determine first 6 members of a geometric progression if stands a3 8 and a7 128. 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. Even though this might seem like a new technique, you have probably used it before. This creates another square within the original and this process is continued indefinitely. Find a closed formula for S(n)2+10+50++25n. 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 Substitute the common ratio into the recursive formula for a geometric sequence. Find the common ratio, the sum, and the product of the first terms. Find the common ratio by dividing any term by the preceding term.

Geometric sequence examples with solutions