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16 votes
16 votes
Find the 100th term to 1,3,9,27​

User Sharat Chandra
by
3.0k points

1 Answer

14 votes
14 votes

Answer:

The n-th term of this sequence appears to be

3

n

1

,

n

1

.

Explanation:

These are powers of

3

ordered from

3

0

=

1

to

3

a

(for an integer

a

1

). However, the first convenient value for

n

is

1

, not

0

(imagine saying the 0th term of a sequence). Because of that, since the first term is actually

3

0

, we need to start from the first term (

n

=

1

) being

3

1

1

. The next is

3

2

1

,

3

3

1

...

3

n

1

.

User Gutemberg Ribeiro
by
2.6k points