![]() ![]() What is the sum of the first six terms of this sequence ?īetween the numbers 4 and 60 we put two numbers so that the first three consecutive numbers form a geometric sequence and the last three consecutive numbers form an arithmetic sequence. If we sequentially subtract the same number from the numbers 5, 11, 23, we get the second, third and fourth term of a geometric sequence. The volume of the cuboid is 216 cm 3 and the surface of the cuboid is 312 cm 2. Find the terms of the sequence.ĭimensions of a cuboid are consecutive terms of a geometric sequence. The quotient of the third and the first term is 9. The sum of three consecutive terms of the geometric sequence is 13. The sum of the outer terms of this sequence is 21 and the sum of the inner terms is -6. Determine the first term and the quotient of this sequence.įour numbers form a geometric sequence. The sum of the first three terms of this sequence is 21. The sum of the first and the third term of a geometric sequence is 15. Determine the first term and the quotient of the sequence. The sum of all terms with the even index is 682 and the sum of all terms with the odd index is 1,364. The finite geometric sequence has 10 terms. If so, find the first term and the quotient of the geometric sequence and determine whether the sequence is increasing or decreasing :įind the terms a 3, a 6 and a 8 of the geometric sequence if you know :įind the sum s 3, s 5 and s 10 of the geometric sequence if you know : 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.Math Exercises & Math Problems: Geometric Sequenceįind out whether the given sequence is a 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. Gear up to solve printable geometric sequence worksheets with exercises to help ace tests on geometric sequences involving rational and irrational numbers. 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. 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. 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. Students practice determining if a sequence is geoemtric (or not), finding ratios, finding the nth term of a geometric sequence and finding multiple subsequent terms of a sequence. Find the sum of 10 terms of the geometric sequence :ĥ. The geometric sequences worksheets on this page require students to identify and predict patterns in progressions of numbers with nonlinear relationships to each other. Find the number of terms in the geometric sequence :Ĥ. Find the possible values of the first term and the common ratio.ģ. 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.
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