The 51st term of the arithmetic progression is -149 if the t(7) = -17 and t(19) = -53 option (D) -149 is correct.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
t(7) = -17
t(19) = -53
t(7) = a + 6d = -17
t(19) = a + 18d = -53
The above two equation representing the linear equation in two variables.
Solving by substitution method.
a = 1
d = -3
t(51) = a + 50d
t(51) = 1 + 50(-3)
t(51) = 1-150
t(51) = -149
Thus, the 51st term of the arithmetic progression is -149 if the t(7) = -17 and t(19) = -53 option (D) -149 is correct.
Learn more about the sequence here:
brainly.com/question/21961097
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