Write an expression.Then find the 100th term in the sequence. 3,10,17,24,31,38...

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

The correct answer would be C

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Please someone help!!!

agasfer [191]

Answer:

Step-by-step explanation:

A, B and C must be real numbers, and A and B are not both zero (which would cause division by zero in the calculation of the slope).

3 0

3 years ago

Find the third side in simplest radical form: 8. V34 Δ

Degger [83]

Answer:

c = 7√2

Step-by-step explanation:

Apply pythagorean theorem to find the third side.

Thus, c² = a² + b²

where, c is the third side and a and b are the other sides.

Plug in the values

c² = 8² + (√34)²

c² = 64 + 34

c² = 98

c = √98

c = √(49 * 2)

c = 7√2

4 0

3 years ago

Find the sum of the first four terms of the geometric sequence shown below. 4, 4/ 3, 4/9, ...

user100 [1]

It's evident that the first four terms are 4, 4/3, 4/9, and 4/27. So the fourth partial sum of the series is

$S_4=4+\dfrac43+\dfrac49+\dfrac4{27}$

It's as easy as adding up the fractions, but I bet this is supposed to be an exercise in taking advantage of the fact that the series is geometric and use the well-known formula for computing such a sum.

Multiply the sum by 1/3 and you have

$\dfrac13S_4=\dfrac43+\dfrac49+\dfrac4{27}+\dfrac4{81}$

Now subtracting this from $S_4$ gives

$S_4-\dfrac13S_4=4-\dfrac4{81}$

That is, all the matching terms will cancel. Now solving for $S_4$ , you
have

$\dfrac23S_4=4\left(1-\dfrac1{81}\right)$
$S_4=6\left(1-\dfrac1{81}\right)$
$S_4=\dfrac{480}{81}=\dfrac{160}{27}$