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tatuchka [14]
3 years ago
15

What are the first four terms in tn=3n+2

Mathematics
1 answer:
Marianna [84]3 years ago
3 0
For this question we are looking at arithmetic sequences.  A sequence is any set of numbers in a particular order.  An arithmetic sequence is a specific type of sequence where the difference between 2 consecutive terms is constant.  The difference is called the common difference.  In your problem...

t_n = 3n + 2

we need to find the common difference, then we can find the 1st four terms. Find the 1st term by replacing n with 1.

t_1 = 3(1) +2
t_1 = 3 +2 = 5

Find the second term by replacing n with 2

t_2 = 3(2) + 2 = 8

and so on

t_3 = 3(3) + 2 = 11

t_4 = 3(4) + 2 = 14

The 1st 4 numbers in the sequence are 5,8,11, and 14.

You can see the common difference is d=3.  You could plug any number into the equation to find that number in the sequence.  For example, the 100th number in the sequence would be

t_100 = 3(100) + 2 = 302


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I Hope this Helps!!

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3 years ago
I need help with direct variation equations
OLEGan [10]
4)
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b) y = 70x
c) Yes
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e) f(x) = 210
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Domain: <span>The set of </span>all possible input values<span> (commonly the "x" variable), which produce a valid output from a particular function.
</span> (-∞ , ∞)

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5)
a) y = -5x
b) Yes, go thru (0,0)
and Yes, constant rate is -5
c) Yes
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3 years ago
I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
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Step-by-step explanation:

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Read 2 more answers
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vovangra [49]

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