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In an arithmetic progression, the first term is 5 and the comman difference is 3 what is the 7th term?
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In an arithmetic progression, the first term is 5 and the comman diffe...
Calculating the 7th term in an Arithmetic Progression
Given information:
- First term (a₁) = 5
- Common difference (d) = 3
Finding the 7th term:
- The formula to find the nth term in an arithmetic progression is:
aₙ = a₁ + (n - 1)d
- Substituting the given values into the formula:
a₇ = 5 + (7 - 1) * 3
a₇ = 5 + 6 * 3
a₇ = 5 + 18
a₇ = 23
Explanation:
- To find the 7th term in an arithmetic progression, we used the formula aₙ = a₁ + (n - 1)d.
- We substituted the given values of the first term (a₁ = 5), common difference (d = 3), and the term number (n = 7) into the formula.
- By simplifying the expression, we calculated that the 7th term in the arithmetic progression is 23.
Conclusion:
- Therefore, the 7th term in the arithmetic progression with a first term of 5 and a common difference of 3 is 23.
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In an arithmetic progression, the first term is 5 and the comman difference is 3 what is the 7th term?
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