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Can someone help with answers? & or explain

Can someone help with answers? & or explain-example-1
User Meepo
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1 Answer

4 votes

Answer:

Arithmetic sequence: 6, 20, 34, 48

Geometric sequence: 6, 12, 24, 48

Explanation:

In an arithmetic sequence, terms are evenly spaced apart; in other words, consecutive terms have a common difference (d). For this problem, we can solve for the common difference with the equation:

6 + d + d + d = 48

6 + 3d = 48

3d = 42

d = 14

We can use this to find the middle terms:

6, 6 + d, 6 + 2d, 48

6, 6 + 14, 6 + 2(14), 48

6, 20, 34, 48

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In a geometric sequence, consecutive terms have a common ratio (r). For this problem, we can solve for the common ratio with the equation:

6 · r · r · r = 48

6 · r³ = 48

r³ = 8

r = 2

We can use this to find the middle terms:

6, 6r, 6r², 48

6, 6(2), 6(2)², 48

6, 12, 24, 48

User Driss Amri
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