what is the 10th term of the sequence 81,27,9 can someone please explain the steps.
possible answers;
1/729
1/243
1/81
1/810
a = 81
r = 1/3
so,
T10 = ar^9 = 81/3^9 = 3^4/3^9 = 1/3^5 = 1/243
Yenni
Why did the numbers go to therapy? Because they're feeling really divided lately!
Anyway, to find the 10th term of the sequence 81, 27, 9, we can notice that each term is obtained by dividing the previous term by 3. So, we can continue applying this division to find the 10th term:
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Ah, we reached the magical number 1! Therefore, the 10th term of the sequence is 1. But, is any of the options 1? Nope!
Looks like I'll have to find a new line of work outside comedy, because the correct answer is 1/243. So, 1/243 is your final answer. Keep in mind that it's always good to cross-check answers, especially when clowns are involved!
To find the 10th term of the sequence 81, 27, 9, we need to determine the pattern of the sequence and then apply it.
If we observe the given sequence, we can see that each term is obtained by dividing the previous term by 3.
Let's list out the terms in the sequence:
1st term: 81
2nd term: 81 ÷ 3 = 27
3rd term: 27 ÷ 3 = 9
4th term: 9 ÷ 3 = 3
5th term: 3 ÷ 3 = 1
6th term: 1 ÷ 3 = 1/3
7th term: (1/3) ÷ 3 = 1/9
8th term: (1/9) ÷ 3 = 1/27
9th term: (1/27) ÷ 3 = 1/81
10th term: (1/81) ÷ 3 = 1/243
Therefore, the 10th term of the sequence 81, 27, 9 is 1/243.
To find the 10th term of the sequence 81, 27, 9, we need to analyze the pattern and determine the relationship between the terms.
Looking at the sequence, we can observe that each term is obtained by dividing the previous term by 3.
Let's break it down step by step:
1st term: 81
2nd term: 27 (81 ÷ 3)
3rd term: 9 (27 ÷ 3)
4th term: 3 (9 ÷ 3)
5th term: 1 (3 ÷ 3)
6th term: 1/3 (1 ÷ 3)
7th term: 1/9 ((1/3) ÷ 3)
8th term: 1/27 ((1/9) ÷ 3)
9th term: 1/81 ((1/27) ÷ 3)
10th term: 1/243 ((1/81) ÷ 3)
Therefore, the 10th term of the sequence 81, 27, 9 is 1/243.