,IN the arithmetic sequence 17,a,b,c,41 what is the value of b?
Hello, Rimas!
You can baby-talk your way through this one . . .
In the arithmetic sequence: $\displaystyle 17,\,a,\,b,\,c,\,41$, what is the value of $\displaystyle b$ ?
In an arithmetic sequence, the terms are "equally spaced".
Since the distance from the first to last is 24, they must be 6 units apart.
. . . . . . . . . $\displaystyle 17\qquad\; a\qquad\;\: b \qquad\;\; c\qquad\;\, 41 $
We have: .$\displaystyle - + - - + - - + - - + - - + - $
. . . . . . . . . . .$\displaystyle \underbrace{\qquad}_6\;\;\;\underbrace{\qquad}_6\; \;\;\underbrace{\qquad}_6\;\;\;\underbrace{\qquad} _6$
Got it?