Question

Find the 10th term of the sequence
2, 6, 18, 54, 162

Answer 1

162+324=486

Answer 2

differences are in GP

Answer 3

what would the 10th term be thought?

Answer 4

i m gettin 39368

Answer 5

n=the term
2*3^(n-1)
2*3^(10-1)
Solve!

From what the numbers looked like, it seemed the number was multiplied by 3 over and over again. The starting number is 2, so it's 2 times 3 by the power of whatever. The notation needs to subtract by 1 because:
\[2\times3^{0}=2\] (1st term)
\[2\times3^{1}=6\] (2nd term)
\[2\times3^{2}=18\] (3rd term)
Notice the exponent by the 3 is one before the term.