If The Fourt Term Of An Arithmetic Sequence Is 34, And The 10th Term Is 22, Find A Sub 1, Common Difference And The Nth Term.

if the fourt term of an arithmetic sequence is 34, and the 10th term is 22, find A sub 1, common difference and the nth term.

 

Answer:

a sub 1 (a_1)= 40

common d=-2

nth. an=42-2n

Step-by-step explanation:

a_4=34, a_10=22

We will assume that a_4 will be the first term, then a_10 would be a_7.

Now, we will answer first the common d. Substitute the given above in the formula a_7=a_1+(n+1)d

22=34+(7-1)d

-12=6d

d=-2

Now, back to the first given where a_4=34. since common d is -2, starting from 34 we add 2 until we get the first term..

a_4=34

a_3=36

a_2=38

a_1=40

Now that we know the first term, we can now determine the nth term. The nth term needs only the first term and the common d.

a_n=40+(n-1)-2

a_n=40-2n+2

a_n=42-2n

Thats all.

P.s. Favor po.. i want to be promoted to virtuoso.. kaso kulang ako ng brainliest answers.. paki thanks nmn po kahit hindi sayo yung question.. Yung answers ko po na may thanks na,, yun po yung ithathank po..


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