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My name is Ann [436]
3 years ago
11

In an arithmetic sequence {an}, if a1 = 5 and d = 3, the first 4 terms in the sequence are

Mathematics
2 answers:
noname [10]3 years ago
6 0
A1 represents the first term

d represents the common difference.....and since the common difference is 3, u have to add 3 to each term to find the next term....because with an arithmetic sequence u add to find the next term, whereas, in a geometric sequence u multiply to find the next term

5...first term
5 + 3 = 8...2nd term
8 + 3 = 11...3rd term
11 + 3 = 14...4th term

ur answer is B
motikmotik3 years ago
5 0
a_n=a_1+(n-1)d\\\\a_1=5;\ d=3\\\\substitute\\\\a_n=5+(n-1)\cdot3=5+3n-3=3n+2\\\\a_1=3\cdot1+2=5\\a_2=3\cdot2+2=8\\a_3=3\cdot3+2=11\\a_4=3\cdot4+2=14\\a_5=3\cdot5+2=17\\\vdot

Answer:\boxed{B)\ \{5;\ 8;\ 11;\ 14;\ 17;\ ... \} }
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Answer:

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Step-by-step explanation:

The last one is also the answer

Using the rational exponet rule,

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Using this number,

\sqrt{40}

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

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3 0
2 years ago
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Scrat [10]

Answer:

y = 6 + 4x

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Step-by-step explanation:

Hi there!

Let x = the number of years that pass

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We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

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To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

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Therefore, the tree would be 22 ft tall.

I hope this helps!

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sukhopar [10]

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