Asked by Muhammad Ammar on Sep 23, 2024

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Find the common difference of the arithmetic sequence 34,45,56,67,…34,45,56,67 , \ldots34,45,56,67,

A) 22
B) 11
C) -22
D) 34
E) -11

\(34\)

An integer and natural number following 33 and preceding 35.

  • Ascertain the nth term within an arithmetic or geometric sequence.
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KC
Kaylee Crumley2 days ago
Final Answer :
B
Explanation :
To find the common difference, we need to find the difference between consecutive terms of the sequence.

$45 - 34 = 11$

$56 - 45 = 11$

$67 - 56 = 11$

We see that the difference between consecutive terms is always 11, so the common difference is $\boxed{\textbf{(B)}\ 11}$.