Consider the sequence:
1536,768, 384, 192,96,
determine the 11th term of the sequence.

1.5

Step-by-step explanation:

Note there is a common ratio between consecutive terms, that is

768 ÷ 1536 = 0.5

384 ÷ 768 = 0.5

192 ÷ 384 = 0.5

96 ÷ 192 = 0.5

This indicates that the terms form a geometric sequence with

= a

where a is the first term and r the common ratio

Here a = 1536 and r = 0.5, thus

= 1536 × = 1.5

step-by-step explanation:

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