What pattern is there in the power of 3

If tñ=2ñ+3, find S10

Allisa [31]

Answer:

$S_{10}=280$

Step-by-step explanation:

Given that,

$t_n=2n+3$ ...(1)

We need to find the value of $S_{10}$ .

Put n = 1 to find the first term.

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

Put n = 2 to find the second term.

$t_2=2(2)+3=7$

Put n = 3 to find the third term.

$t_3=2(3)+3=9$

Put n = 10 to find the tenth term.

$t_{10}=2(10)+3=23$

It means we need to find the sum of 5,7,9,.....,23.

The formula for the sum of n terms is given by :

$S_=\dfrac{n}{2}(a+a_n)$

We have, n = 10, a = 5 and $a_n=23$

So,

$S=\dfrac{10}{2}(5+23)\\\\S_{10}=10\times 28\\\\=280$

So, the value of $S_{10}$ is equal to 280.

3 0

3 years ago

Which are vertical angles? O AFE and BFD O BFC and DFE O AFE and CFD O BFC and EFA

mel-nik [20]

the correct answer is a, because a vertical angle is made of 2 intercepting lines.

3 0

3 years ago

How to solve similar integer

SCORPION-xisa [38]

Ok, I'll make it simple for you: Keep Change Change. For all subtraction problems (and only subtraction, no addition), all you have to do is keep the first number, then change the sign from a minus to a plus, and then change the last number to the opposite. For example:
7 - (-3)
7 + 3=10

-4 - 10
-4 + -10= -14

For addition, if both numbers are negative, you just add them together. For example:
-21 + (-13)= -34

In this case you switch the sign and the number's sign also:
7 + (-18)
7 - 18 = -11

I hope I was help!!!

6 0

3 years ago

Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha

const2013 [10]

Answer:

(a) The value of a is 53.35.

(b) The value of a is 38.17.

(c) The value of a is 26.95.

(d) The value of a is 25.63.

(e) The value of a is 12.06.

Step-by-step explanation:

The probability density function of X is:

$f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}$