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

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
On a certain number line, there are 10 marks evenly spaced. If the fi  [#permalink]

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11 Jan 2018, 23:06
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Difficulty:

45% (medium)

Question Stats:

64% (01:42) correct 36% (01:43) wrong based on 65 sessions

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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

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Joined: 23 May 2017
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Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: On a certain number line, there are 10 marks evenly spaced. If the fi  [#permalink]

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21 Jan 2018, 15:17
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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21 Jan 2018, 18:54
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 [ 3.25 KiB | Viewed 575 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.)

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On a certain number line, there are 10 marks evenly spaced. If the fi   [#permalink] 21 Jan 2018, 18:54
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