Consider the sequence:
1536,768, 384, 192,96, ---
Determine the 11th term of the sequence.
2 answers:
Answer:
Step-by-step explanation:
Let ‘a’ is the first term and ‘r’ is a common ratio
By using formula of G.P
Tn = a.r^n-1
=(1536)(1/2)^11-1
= 2^9 x 3 x 2^ -10
= 3 x 2^9-10
= 3 x 2^-1
= 3/2
11th is 3/2
Answer:
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
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