What is the common difference, d, in the arithmetic sequence defined by the formula $a_n=-1/2n+6$ ?

Question

5261 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-27T17:09:12

$d=-1/2$ .

In any A.P., let us note that, $T_(n+1)-T_n=d...[T_n" is "n^(th)" term"]$ .

$:."In our Example, "d=a_(n+1)-a_n={-1/2(n+1)+6}-{-1/2n+6}=-1/2.$

There is still a short-cut.

In the Usual Notation,

$T_n=a+(n-1)d=dn+(a-d)=dn+b," say, "b=a-d$

So, $d="the co-eff. of "n rArr d=-1/2.$

What is the common difference, d, in the arithmetic sequence defined by the formula a_n=-1/2n+6a_n=-1/2n+6?