Wierzycaz

2021-02-09

The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth ter is 104.
What is the common difference of this sequence?
How do you find the nth term of the arithmetic sequence?

pierretteA

Skilled2021-02-10Added 102 answers

Step 1
Given,
The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24. And the twentieth term is 104.We know that,
The general term of the arithmetic sequence is given by
${a}_{n}=a+(n-1)$
where d is the common difference
a is the first term
n is the number of terms
Step 2
Now,
First term in an arithmetic sequence is 9.
$a=9$
The fourth term in the sequence is 24 and the twentieth term is 104
$a+3d=24anda+19d=104$
Put $a=9$ then
$\Rightarrow 9+3d=24$

$\Rightarrow 3d=24-9$

$\Rightarrow 3d=15$

$\Rightarrow d=5$
The general term of the arithmetic sequence is
${a}_{n}=a+(n-1)d$

$\Rightarrow {a}_{n}=9+(n-1)5$

$\Rightarrow {a}_{n}=9+5n-5$

$\Rightarrow {a}_{n}=5n+4$

$\therefore $ The nth term of the arithmetic sequence is ${a}_{n}=5n+4$

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

Which operation could we perform in order to find the number of milliseconds in a year??

$60\cdot 60\cdot 24\cdot 7\cdot 365$ $1000\cdot 60\cdot 60\cdot 24\cdot 365$ $24\cdot 60\cdot 100\cdot 7\cdot 52$ $1000\cdot 60\cdot 24\cdot 7\cdot 52?$ Tell about the meaning of Sxx and Sxy in simple linear regression,, especially the meaning of those formulas

Is the number 7356 divisible by 12? Also find the remainder.

A) No

B) 0

C) Yes

D) 6What is a positive integer?

Determine the value of k if the remainder is 3 given $({x}^{3}+k{x}^{2}+x+5)\xf7(x+2)$

Is $41$ a prime number?

What is the square root of $98$?

Is the sum of two prime numbers is always even?

149600000000 is equal to

A)$1.496\times {10}^{11}$

B)$1.496\times {10}^{10}$

C)$1.496\times {10}^{12}$

D)$1.496\times {10}^{8}$Find the value of$\mathrm{log}1$ to the base $3$ ?

What is the square root of 3 divided by 2 .

write $\sqrt[5]{{\left(7x\right)}^{4}}$ as an equivalent expression using a fractional exponent.

simplify $\sqrt{125n}$

What is the square root of $\frac{144}{169}$