Respuesta :
Answer:
a₆ = 243
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
3 ÷ 1 = 9 ÷ 3 = 27 ÷ 9 = 3
this indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 1 and r = 3 , then
a₆ = 1 × [tex]3^{5}[/tex] = 243
Answer:
243
Solution:
- We have a geometric sequence here, meaning that we use multiplication/division in order to get to the next term.
- In this case, we multiply each term by 3.
- 1 times 3 is 3, 3 times 3 is 9, 9 times 3 is 27...
- In order to find the sixth term, we should take the fifth term and multiply it by 3.
- In order to find the fifth term, we need to take the fourth term and multiply it by 3.
- Multiply:
- 81
- So the fifth term of this sequence is 81.
- Now, multiply 81 times 3:
- 243
- Therefore, the sixth term in this sequence is equal to 243.
Hope it helps.
Do comment if you have any query.
