What kind of sequence is this? 395, 395, 395, 395, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. Calculation: 395 - 395 = 0 Math error check: Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant. Calculation: 395 / 395 = 1 Math error check: Sequence Analysis: Since the difference between consecutive terms is 0, it satisfies the condition for an arithmetic sequence. Additionally, since the ratio between consecutive terms is 1, it also satisfies the condition for a geometric sequence. Therefore, the sequence is both arithmetic and geometric. Math error check:

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What kind of sequence is this? $\newline$ $395, 395, 395, 395, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Math Problems

Grade 8

Identify arithmetic and geometric sequences

Full solution

Q. What kind of sequence is this?

\newline

395, 395, 395, 395, \ldots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. To determine if this is an arithmetic sequence, we need to check if the difference between consecutive terms is constant. $\newline$ Calculation: $395 - 395 = 0$ $\newline$ Math error check:
Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. To determine if this is a geometric sequence, we need to check if the ratio between consecutive terms is constant. $\newline$ Calculation: $\frac{395}{395} = 1$ $\newline$ Math error check:
Sequence Analysis: Since the difference between consecutive terms is $0$ , it satisfies the condition for an arithmetic sequence. Additionally, since the ratio between consecutive terms is $1$ , it also satisfies the condition for a geometric sequence. Therefore, the sequence is both arithmetic and geometric. $\newline$ Math error check: