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Arithmetic Sequence

10,13, 14,... find the 48th term
12,10,8,6,... find the 15th term


Sagot :

Answer:

151

Step-by-step explanation:

To find the 48th term of an arithmetic sequence, we can use the formula \( a_n = a_1 + (n-1)d \), where \( a_n \) is the nth term, \( a_1 \) is the first term, \( n \) is the term number, and \( d \) is the common difference.

In this case, the first term (\( a_1 \)) is 10, and the common difference (\( d \)) is 13-10 = 3. Plugging these values into the formula:

\( a_{48} = 10 + (48-1)3 = 10 + 47*3 = 10 + 141 = 151 \).

Therefore, the 48th term of the arithmetic sequence is 151.