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3 years ago

Find the 100th term of the following arithmetic sequence 5.5, 6, 6.5, 7, ...

Mathematics

2 answers:

AysviL [449]3 years ago

8 0

Answer:

Step-by-step explanation:

The n-th term of an arithmetic sequence is given by the formula ...

an = a1 + d(n -1)

where a1 is the first term (5.5) and d is the common difference (0.5).

So, the n-th term is ...

an = 5.5 +0.5(n -1) = 5.0 +0.5n

For n = 100, the term is ...

a100 = 5.0 +0.5(100) = 55

The 100th term of the sequence is 55.

riadik2000 [5.3K]3 years ago

5 0

Answer:

55.

Step-by-step explanation:

The explicit formula for the nth term is a1 + d(n - 1).

Here d = 6 - 5.5 = 0.5 and a1 = 5.5.

So the 100th term = 5.5 + 0.5(100-1)

= 55.

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Ket [755]

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Expand.

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2 years ago

If the dimensions of the following cylinder are quadrupled, what will be the volume of the new similar cylinder?

Alik [6]

Answer: First option is correct.

Explanation:

Since we have given that

Radius = 11 inches

Height = 14 inches

Now, according to question, we have mentioned that all the dimensions of the cylinder is to be quadrupled i.e. four times.

Then,

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As we know the formula for " Volume of cylinder ":

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3 years ago

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Olenka [21]

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Zolol [24]

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ivolga24 [154]

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