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Stella [2.4K]
3 years ago
5

A sequence can be generated by using an=4an−1 where a1=6 (a) 6, 20, 76, 300 (b)6, 24, 96, 384 (c)6, 10, 14, 18 (d) 6, 20, 100, 5

00
Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

Answer:

<u></u>

  • <u>Option (b) 6, 24, 96, 384 </u>

Explanation:

The complete question is:

A sequence can be generated by using    a_n=4a_{(n-1)}    where    a_1=6     and n is a whole number greater than 1. What are the first four terms in the sequence.

The given rule     a_n=4a_{(n-1)}     is a recursive formula, which means that  to find any term consecutive term, from the second one, you multiply the current term by 4.

Thus:

a_1=6\\ \\ a_2=4a_1=4\times 6=24\\\\ a_3=4a_2=4\times 24=96\\ \\ a_4=4a_3=4\times 96=384

Xelga [282]3 years ago
6 0

Answer:

The option (b) is correct as the sequence is generated as 6, 24, 94, 384,...

Step-by-step explanation:

Considering the sequence

a_{n} =4a_{n-1}

As a_{1} =6

So,

a_{n} =4a_{n-1}

a_{2} =4a_{2-1}

a_{2} =4a_{1}

a_{2} =4.6

a_{2} =24

a_{3} =4a_{3-1}

a_{3} =4a_{2}

a_{3} =4.24

a_{3} =96

a_{4} =4a_{4-1}

a_{4} =4a_{3}

a_{4} =4a_{3}

a_{4} =4.96

a_{4} =384

Therefore, the option (b) is correct as the sequence is generated as 6, 24, 94, 384,...

Keywords: sequence

Learn more about sequence from brainly.com/question/14130937

#learnwithBrainly

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