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Alchen [17]
3 years ago
14

Find a18 of the arithmetic sequence 2, -5, -12, -19

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

The 18th term of the sequence is -117.

Step-by-step explanation:

The given sequence is 2,-5,-12,-19

From this AP,

First term, a = 2

Common difference, d = -5-2 = -7

It is required to find the 18th term of the sequence. The nth term of an AP is given by :

a_n=a+(n-a)d\\\\a_{18}=a+17d\\\\a_{18}=2+17\times (-7)\\\\a_{18}=-117

So, the 18th term of the sequence is -117.

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Step-by-step explanation:

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2 years ago
What is the nth term in the sequence:<br> 4, 7, 12, 19, 28 <br> Please show working out
3241004551 [841]
                         4, 7, 12, 19, 28
1st difference    +3 +5 +7 +9
2nd difference      +2 +2  +2

This is a geometric sequence

The form is:
                  an² + bn + c
2a is always = to the second difference
2a = 2
a = 1

3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0

a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3

nth term of sequence {substitute all we have found}
1n² + 0 + 3
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6 0
3 years ago
Find four consecutive integers if the sum of the second and fourth is 48
pogonyaev

Answer:

Step-by-step explanation:

Let the four consecutive integers be

x ,x+1,x+2,x+3

According to the given statement the sum of 2nd and 4th is 48 so,

x+1+x+3=48

2x+4=48

2x=44

x=22

So the four consecutive integers are

x=22,

x+1=23,

x+2=24,

x+3=25

8 0
3 years ago
Twice the sum of a number and eight
JulsSmile [24]

Answer:

2(x+8)

If you want the second step this is it: 2x+16

x=variable

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
1. What is the range of frequencies a human ear can hear?
zubka84 [21]

Answer:

Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.

(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)

5 0
4 years ago
Read 2 more answers
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