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Is 175 a term of the Arithmetic sequence 5,25,45...

Sagot :

Answer:

175 is not a term of the given arithmetic sequence.

Step-by-step explanation:

The common difference between consecutive terms can be found by subtracting any two consecutive terms. Let's calculate the common difference using the first two terms:

25 - 5 = 20

Now, we can check if 175 satisfies the pattern of the sequence. If we start with 5 and keep adding the common difference of 20, we can see if we reach 175.

5 + 20 = 25

25 + 20 = 45

45 + 20 = 65

65 + 20 = 85

85 + 20 = 105

105 + 20 = 125

125 + 20 = 145

145 + 20 = 165

165 + 20 = 185

From the pattern, we can see that 175 is not a term in the arithmetic sequence.