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Oksana_A [137]
3 years ago
8

If the fifth and eighth terms of an arithmetic sequence are minus 9 and minus 21, respectively, what are the first four terms of

the sequence?
Mathematics
1 answer:
Reil [10]3 years ago
4 0
One way to do this problem is to determine the common difference.  If the 5th and 8th terms are -9 and -21, we can do this by subtracting -9 from -21:

-21-(-9) = -12.  The 5th and 8th terms are not consecutive, so we have to think in terms of (8-5), or 3, times the common difference to get from -9 to -21.

Note that -12 divided by 3 is -4.  Thus, the common difference is -4.

Check:  -9 - 4 = -13; -13 - 4 = -17; -17 - 4 = -21 (which is correct).

We know that the 5th term is -9.  To find the 4th term, work backwards:  subtract (-4) from -9, which produces -9+4=-5.

The fourth term is -5.  Subtracting -4 from this (which is the same as adding 4 to this -5) produces the third term; it is -1.  Can you now find the 2nd and 1st terms using the same approach?

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A map of a nature park has a scale of 2 inches to 1. 5 miles. There are two trails that are 8 inches apart on the map. What is t
katrin [286]

Answer:

6 miles

you can turn the problem into the equation

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5 0
1 year ago
Charlie, who is 5 feet tall, walks away from a streetlight that is 16 feet high at a rate of 6 feet per second, as shown in the
Y_Kistochka [10]
Given:

Height of Charlie: 5 feet 
Height of street light: 16 feet
Rate of movement: 6 feet/s

Illustrate the problem by drawing two similar triangles. The first leg of triangle 1, the height of the street light. The first leg of triangle 2, the height of Charlie. The shadow is moving at y ft/s. The distance between Charlie and the light is also moving at x ft/s.


7 0
3 years ago
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mafiozo [28]
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4 0
2 years ago
Abiodun and taiwo share 735 naira between them so that abiodun get 95naira more than taiwo find how much money each gets
DerKrebs [107]

Answer:

Abiodun gets - <u>415 naira</u>

Taiwo gets -<u> 320 naira</u>

Step-by-step explanation:

Let us consider  x and y as Abiodun and Taiwo,

Therefore , acccording to the question , equation formed will be -

 x+y=735 naira ------ 1

and

x=y+95

x-y=95 ------2

From equation 1 and 2, we get

   2x=830

x=\frac{830}{2}

x=415 naira (that is Abiodun share)

now , Calculating Taiwo share from equation 1

x+y=735\\415+y=735

y=735-415

y = 320 naira (that is Taiwo share )

Therefore , Share of Abiodun = 415 naira

   Share of Taiwo = 320 naira

5 0
2 years ago
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