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Answer :
Since the oil in the lamp burns at a linear rate, we can say that it follows an arithmetic progression. For an arithmetic progression, the formula for finding the nth term is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(initial volume of oil)
n represents the number of terms(the time )
d represents the common difference(The constant amount by which the volume of oil is decreasing)
Tn represents the volume of oil left after n minutes
Looking at the information given, the following equations can be derived
For the first equation,
13 = a + (10 - 1)d
13 = a + 9d
For the second equation,
7 = a + (38 - 1)d
7 = a + 37d
subtracting the second equation from the first equation, it becomes
6d = 28
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