what is the common difference of an arithmetic sequence if a1=8, a35=100 and n=5?
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what is the common difference of an arithmetic sequence if a1=8, a35=100 and n=5?
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Step-by-step explanation:
an=a1+(n-1)d
100=8+(5-1)d
100=8+4d
100-8=4d
92=4d
d=23
Answer:
The common difference is 23
Step-by-step explanation:
Formula: an = a1 + (n-1) d
Substitution and Subtraction: 100 = 8 + (5-1) d
Multiply and Addition: 100 = 8 + (4) d
Transpose to combine similar terms: 100 - 8 = 4d
Divide both sides by 4 to get the value of d: 92/4 = 4d/4
Final answer: 23 = d
Checking
Formula: an = a1 + (n-1) d
Substitution and subtraction: 100 = 8 + (5-1) 23
Addition and Multiply: 100 = 8 + (4) 23
Final answer: 100 = 100 ✓