If this pattern continues, we will have a geometric sequence with the first term 8 and common ratio 4 as shown below.įind the sum of the terms in the above geometric sequence. ![]() This is a geometric series with a 1 = 9 and r = 1/3.Īmount spent when the first set of letters is mailed :Īmount spent when the second set of letters is mailed :Īmount spent when the third set of letters is mailed : This is a geometric series with a 1 = 5 and r = 1. This is a geometric series with a 1 = 2 and r = 3. In certain cases, that you can add an infinite. Assuming that the process is unaltered and it costs $2 to mail one letter, find the amount spent on postage when 8 th set of letters is mailed.įormula for the sum of first n terms of a geometric sequence. If the terms are in an arithmetic sequence, then the series is an arithmetic series. For the following exercises, find the specified term for the geometric sequence, given the first term and common ratio. First Five Terms: l, a 2187 25-4' First Five Terms: a -40960 3, 9, 27, 81 40, -160, 10) -640 First Five Terms: 2, 2' 8192 a First Five Terms: 4, a -8748 8' -12, 32' -36, 128 -108, 10, -324 Given the recursive formula for a geometric. For the following exercises, write the first five terms of the geometric sequence, given any two terms. He asks each one of them to copy the letter and mail to four different persons with the instruction that they continue the process similarly. Given the explicit formula for a geometric sequence find the first five terms and the 8th term. Peterson writes a letter to four of his friends. ![]() Find the first term of a geometric sequence whose common ratio is 5 and sum to first 6 terms is 46872.ħ. Find the sum of first 8 terms of a geometric sequence whose n th term 3 2n-1.Ħ. Find the sum of 10 terms of the geometric sequence :ĥ. jensenmath.ca provides FREE lessons, worksheets, solutions, and video tutorials for all Ontario high school math courses. Find the number of terms in the geometric sequence :Ĥ. Find the possible values of the first term and the common ratio.ģ. Determine the number of terms n in each geometric series. The second term of a geometric sequence is 6 and the fourth term is 96. A geometric sequence has first term 3 and common ratio -2. **Note**: This bundle may include worksheets that strictly speaking fall under grade 5 or 7, but students aiming for grade 6 are expected to access some/most of the content within them.1. Thorough, comprehensive and structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking. ![]() A collection of 20 well thought out GCSE maths worksheets with answers carefully designed to help students aiming for grade 6. Geometric sequence worksheets are prepared for determining the geometric sequence, finding first term and common ratio, finding the n th term of a geometric sequence, finding next three terms of the sequence and much more. Given the explicit formula for a geometric sequence find the first five terms and the 8th term.
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