Find the 25th term of the following sequence -33,-16,1,

Hello,

x + 17

(-33) + 17 = (-16)

(-16) + 17 = 1

1 + 17 = 18

18 + 17 = 35

17 * 25 = 425

(-33) + 425 = 392

Bye :)

Hi!

The pattern is to add 17.

The equation the find the 25th term of an arithmetic sequence is

a(n) = a(1) + (n - 1)d

n = the 25th term

a = the first number in the sequence

d = the pattern

a(25) = -33 + (25 - 1)17

Solve

a(25) = -33 + 24 * 17

a(25) = -33 + 408

a(25) = 375

The 25th term in the sequence is 375

Hope this helps! :)

answer: 1, 3 and 5 are correct

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!