COMMON DIFFERENCE OF AN ARITHMETIC SEQUENCE
Arithmetic sequence common difference 8, 16, 24, 32...
FORMULA:
[tex]d = \frac{b - a}{n + 1} [/tex]
where:
d = common difference
a = first extreme (first term)
b = last extreme (last term)
n = number of terms betweeen two extremes
SOLUTION:
[tex]d = \frac{b - a}{n + 1} \\ \\ d = \frac{32 - 8}{2 + 1} \\ \\ d = \frac{24}{3} \\ \\ d = 8[/tex]
ANSWER:
The common difference is 8.
To check, add the common difference to each terms to get the next term.
[tex]8 + 8 = 16[/tex] ✔︎
[tex]16 + 8 = 24[/tex] ✔︎
[tex]24 + 8 = 32[/tex] ✔︎
#CarryOnLearning
