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What is a formula for the ath term of the given sequence? 1,4,7

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Answer:

Step-by-step explanation:

hello :

a formula for the ath term of the given sequence arithm :

An =A1 +(n-1)r A1=1 and r =7-4=4-1=3

An =1 +(n-1)3 =1+3n-3

An = 3n-2

User Fxfuture
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2 votes

Final answer:

The nth term of the given arithmetic sequence 1, 4, 7 can be found using the formula an = 3n - 2, where n is the term number.

Step-by-step explanation:

The given sequence is 1, 4, 7, which appears to be an arithmetic sequence where each term increases by a common difference of 3. To find a general formula for the nth term of an arithmetic sequence, we use the formula an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference between the terms.

Applying this to our sequence, the first term a1 is 1, and the common difference d is 3. Therefore, the formula for the nth term of the given sequence is:

an = 1 + (n - 1) × 3

Expanding this, we get:

an = 1 + 3n - 3

an = 3n - 2

This formula can now be used to find any term in the sequence by substituting the desired term number for n.

User Bronzels
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