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Taya2010 [7]
3 years ago
10

What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

B. 199

Step-by-step explanation:

We are given an Arithmetic sequence : 3, 7, 11, 15, ...

We are supposed to find the 50th term .

So, first consider the formula of nth term in Arithmetic mean:

a_{n} = a+(n-1)*d

where

a is first term of sequence

n is term position

d is common difference

a_{n}= the term you are supposed to find

Now,

a = 3 ( first term )

n = 50 th term ( given )

d = 7-3 = 11-7 = 4(common difference

Substitute these value in the formula given above

⇒a_{50} = 3+(50-1)*4

⇒a_{50} = 3+(49)*4

⇒a_{50} = 3+196

⇒a_{50} = 199

Hence ,The 50th term of given arithmetic sequence is 199

So, OPTION B is correct .


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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20%3D%208" id="TexFormula1" title=" {2}^{x} = 8" alt=" {2}^{x} = 8"
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Hey there!

<h2>ANSWER: </h2>

Non linear

<h2>EXPLANATION:</h2>

Is 2^x=8 linear or non-linear.

Since x has an exponent value that is equal to 2, it's non-linear. So that means 2^x=8 is non-linear.

Hope this helps!

\text{Please rate this answer and press the thank button!}\\\text{-TestedHyperr}

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