Given are the first three terms of a sequence that is arithmetic. Find a1 and d.
-$2 , \frac { 3 } { 2 } , 1$
A) $a _ { 1 } = 2 ; d = - 1$
B) $\mathrm { a } _ { 1 } = 2 ; \mathrm { d } = - \frac { 3 } { 2 }$
C) $\mathrm { a } _ { 1 } = 2 ; \mathrm { d } = \frac { 1 } { 2 }$
D) $a _ { 1 } = 2 ; d = - \frac { 1 } { 2 }$

Question

Quizplus · Accepted Answer

In an arithmetic sequence, the difference between consecutive terms is constant. Here, $2 - \frac{3}{2} = \frac{1}{2}$ and $\frac{3}{2} - 1 = \frac{1}{2}$, but since the sequence is decreasing, the common difference $d$ is $-\frac{1}{2}$. The first term $a_1$ is given as 2.

Given Are the First Three Terms of a Sequence That 2,32,12 , \frac { 3 } { 2 } , 12,23​,1

Given Are the First Three Terms of a Sequence That $2 , \frac { 3 } { 2 } , 1$