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-Dominant- [34]
3 years ago
9

What is a of n equal to? What is the 10tn term in the sequence?

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer:

nth term, T_n=1(2)^n^-^1

10th term, T_1_0=512

Step-by-step explanation:

From the question;

  • We are given the first term, a_1=1
  • The common ratio, r = 2

We are required to write the formula of getting nth term and find the 10th term of the sequence;

  • We need to know that for nth term in a geometric sequence, we use the formula;

T_n=a_1r^n^-^1

Therefore, in this case;

nth term will be given by;

T_n=1(2)^n^-^1, where n is the term in the sequence;

Therefore;

To get the 10th term of the sequence;

T_1_0=1(2)^1^0^-^1

T_1_0=1(2)^9

T_1_0=512

Therefore, the tenth term of the sequence is 512

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