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Flura [38]
4 years ago
7

A finite arithmetic sequence has 12 terms. The last term Is 100 and the common difference is 3. What is the first term

Mathematics
1 answer:
Westkost [7]4 years ago
5 0

Answer:

the first term is 67

Step-by-step explanation:

A finite arithmetic sequence has 12 terms. The last term Is 100 and the common difference is 3.

the formula for nth term is

a_n = a_1 +(n-1)d

Equation for 12th term is

a_{12} = a_1 +(12-1)d

a_12 is the last term, a1 is the first term and d is the common difference

a12= 100, d= 3

100 = a_1 +(11)3

100 = a_1 +33

Subtract 33 from both sides

a_1= 67

So the first term is 67

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