## anonymous one year ago The simple formula for the nth term of an arithmetic sequence is an = 6n + 14. What is the explicit formula corresponding to the simple formula? A. an = 20 + (n - 1)(6) B. an = 14 + (n - 1)(6) C. an = 14 + 6n D. an = 20 + (n)(6) E. an = 6 + (n - 1)(14)

1. amoodarya

put n=1 to find first term $n=1 \rightarrow a_n=a_1=6(1)+14=20\\a_n=a_1+(n-1)d$ now find d $d=a_2-a_1\\a_2=2(6)+14=26\\a_1=20\\a_2-a_1=d=26-20=6$

2. amoodarya

can you go on ?

3. anonymous

its e

4. amoodarya

$a_n=a_1+(n-1)d$

5. amoodarya

try again !

6. anonymous

its not a or b

7. anonymous

so its d

8. amoodarya

a1=20 d=6 now an =? write it by yourself do not see choices

9. amoodarya

$a_n=a_1+(n-1)d=\\a_n=20+(n-1)6$