Find the difference of the arithmetic progression (An) if A1 = 16, A8 = 37.
| June 19, 2021 | education
Let’s write the formula for the n-term of the arithmetic progression.
an = a1 + (n – 1) d.
Let’s write the formula for the 8th term of the arithmetic progression.
a8 = a1 + (8 – 1) d.
a8 = a1 + 7d.
Let’s write down what is the difference of the progression from this formula.
d = (a8 -a1): 7.
d = (37 – 16): 7 = 3.
Answer: d = 3.
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