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On a certain number line, there are 10 marks evenly spaced. If the fi

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On a certain number line, there are 10 marks evenly spaced. If the fi [#permalink]

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New post 11 Jan 2018, 22:06
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On a certain number line, there are 10 marks evenly spaced. If the fifth mark has a value equal to 2.3 and the tenth mark's value is equal to 3.8, then what is the value of the second mark?

A. 0.3
B. 1.1
C. 1.4
D. 1.5
E. 1.7
[Reveal] Spoiler: OA

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Re: On a certain number line, there are 10 marks evenly spaced. If the fi [#permalink]

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New post 21 Jan 2018, 14:17
generic formula for a series in Arithmetic progression = a(n) = a(0) + (n - 1)d

given : a(10) = a(0) + 9d & a(5) = a(0) + 4d

solving both the equation we get a(0) = 1.1 & d = 0.3

a(2) = a(0) + (2 - 1) d = 1.1 + 0.3 = 1.4
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On a certain number line, there are 10 marks evenly spaced. If the fi [#permalink]

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New post 21 Jan 2018, 17:54
Bunuel wrote:
On a certain number line, there are 10 marks evenly spaced. If the fifth mark has a value equal to 2.3 and the tenth mark's value is equal to 3.8, then what is the value of the second mark?

A. 0.3
B. 1.1
C. 1.4
D. 1.5
E. 1.7

Attachment:
lineinterval.png
lineinterval.png [ 3.25 KiB | Viewed 190 times ]

Draw a horizontal line. Make ten vertical lines, evenly spaced.
At the fifth mark, write 2.3
At the tenth mark, write 3.8

Interval distance is total distance between 2.3 and 3.8, divided by number of intervals.

3.8 - 2.3 = 1.5
There are 5 intervals (between 2.3 and 3.8)

Interval distance: \(\frac{1.5}{5}\) = .3

Write the rest of the values in, working from 2.3 to the left.
5th to FOURTH: 2.3 - .3 = 2.0
4th to THIRD: 2.0 - .3 = 1.7
3rd to SECOND: 1.7 - .3 = 1.4 (DONE)
That's the second mark.
(The first mark is 1.4 - .3 = 1.1.)

Answer C
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On a certain number line, there are 10 marks evenly spaced. If the fi   [#permalink] 21 Jan 2018, 17:54
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