The 2nd And 6th Term Of An Arithmetic Sequence Are 0 And 32 Respectively. Find The First Term And Common Difference Of The Arithmetic Sequence.

the 2nd and 6th term of an arithmetic sequence are 0 and 32 respectively. find the first term and common difference of the arithmetic sequence.

Answer:

a1=-8

d=8

Step-by-step explanation:

a2=0

a6=32

$\frac{a6 - a2} {6 - 2}$

$\frac{32 - 0}{6 - 2}$

$\frac{32}{4}$

$d = 8$

a6=a1+(n-1)d

32=a1+(6-1)8

32=a1+(5)8

32=a1+40

32+(-40)=a1

-8=a1

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