given the sequence 3, 6, 12, 24,.... find t11

It is a geometric seies...

3 6 12 24 48 96 192 384 768 1536 3072

To find any term of a geometric sequence:where a_{1} is the first term of the sequence, r is the common ratio, n is the number of the term to find.

here a1 = 3 and common ratio is 2 and we have to find 11th term so...n equals 11

a11 = 3 x 2^(11-1)

= 3 x 2^10

= 3 x 1024

Answer = 3072

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