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vesna_86 [32]
3 years ago
13

Consider the sequence: 12, 17, 22, ... , ... , .... What is the 405th term of this sequence?

Mathematics
2 answers:
Mice21 [21]3 years ago
7 0
A_n= a₁+(n-1)d

a₁ first term

n terms

d distance between each value

a_n= 12+(405-1)(5)=2032
kompoz [17]3 years ago
7 0
The first term of the sequence is 12. You can also tell that you’re adding five after the first term.
12+5(x-1)=y
Since you’re not automatically adding it on the first term, you need to subtract one from x.
You could also do this.
7+5x=y
You would still get the same number.
Let’s plug 405 in for x in the equations.
12+5(405-1)
12+5(404)
12+2020
2032
Let’s see if it’s the same thing in the second equation.
7+5(405)
7+2025
2032
The 405th term is 2032.
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Read 2 more answers
The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
2 years ago
Parallel to y - 2x = 4 and passes through (0,5)
wolverine [178]

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

4 0
2 years ago
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