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

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

 

Answer:

a1=31

d=-7

Step-by-step explanation:

Given:

a2=24

a5=3

Find a1 and d

Make an alternative Equation:

a5=3

an=3

n=5

3=a1+(5-1)d

3=a1+4d

a2=24

an=24

n=2

24=a1+(2-1)d

24=a1+d

Subtract the Two Equation

3=a1+4d

-

24=a1+d

_______

-21=3d

d=-7

Substitute to the one of the equation

24=a1+(-7)

a1=24+7

a1=31

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