The Second Term Of An Arithmetic Sequence Is 24 And The Fifth Term Is 3.Find The First Term And Common Difference.

The second term of an arithmetic sequence is 24 and the fifth term is 3.Find the first term and common difference.

 

Answer:

a1=31; d=-7

Step-by-step explanation:

a2=24

a5=3

Make A simultaneous Equations

an=a1+(n-1)d

24=a1+(2-1)d

3=a1+(5-1)d

Subtract the two terms

24=a1+(2-1)d

-

3=a1+(5-1)d

__________

21=-3d

divide=-3 both sides

d=-7

Substitute -7 to the first equation

29=a1+(2-1)(-7)

29=a1-7

+7 both sides

a1=31


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