The common difference of an arithmetic sequence is -5. If a12 is 22, what is a1?

The first term of the arithmetic series can be obtained using the relation, A12 = a1 + 11d ; Hence, the first term is 77

To obtain the nth term of an arithmetic series ; use the relation :

The 12th term can be defined as :

22 = a1 + 11(-5)

22 = a1 - 55

22 + 55 = a1

a1 = 77

Therefore, the first term of the arithmetic series is 77

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77.

Step-by-step explanation:

an = a1 + (n-1)d    where d is the common difference.

a12 = a1 + 11d

22 = a1 +11(-5)

22 = a1 - 55

a1 = 22 + 55

a1 = 77.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

step-by-step explanation:

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