THE RIGHT TERM Use any method to find the nth term of the given geometric sequences, 1. What is the 7th term of the sequence 5, 10, 20, ...? Since you obtained already the common ratio of this sequence which is 2 and the next three terms are 40, 80, and 160, you can easily identify the 7th term. By multiplying 160 by 2, you will obtain the 7th term which is 320. Now, what is the 10th term? 20th term?
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Answer:
1.) A7 = 320
2.) A10 = 2560
3.) A20 = 2621440
Step-by-step explanation:
1.) Formula: An= Ar^n-1
Solution:
A7= 5(2)^7-1
A7= 5(2)^6
A7= 5(64)
A7= 320
2.) A10= 5(2)^10-1
A10= 5(2)^9
A10= 5(512)
A10= 2 560
3.) A20= 5(2)^20-1
A20= 5(2)^19
A20= 5(524 288)
A20= 2 621 440