4. ¿Con cuál de las siguientes expresiones se calcula el 25° término de una progresión geométrica?

A. \( a_{25} = a_1 \cdot r^{24} \)
B. \( a_{25} = a_1 \cdot r^{25} \)
C. \( a_{25} = a_1 \cdot r^{23} \)
D. [tex]\( a_{25} = a_1 + 24r \)[/tex]

Question

29-06-2024
Mathematics

Answered

4. ¿Con cuál de las siguientes expresiones se calcula el 25° término de una progresión geométrica?

A. \( a_{25} = a_1 \cdot r^{24} \)
B. \( a_{25} = a_1 \cdot r^{25} \)
C. \( a_{25} = a_1 \cdot r^{23} \)
D. [tex]\( a_{25} = a_1 + 24r \)[/tex]

Answer :

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Final answer:

To calculate the 25th term of a geometric progression, you need to use the formula Term_n = ar^(n-1) where a is the first term, r is the common ratio, and n is the term number.

Explanation:

The 25th term of a geometric progression can be calculated using the formula:

Termn = ar(n-1)

where a is the first term, r is the common ratio, and n is the term number. In this case, identifying the first term and common ratio from the given information is essential to find the 25th term.

Learn more about Geometric Progression here:

https://brainly.com/question/4853032

4. ¿Con cuál de las siguientes expresiones se calcula el 25° término de una progresión geométrica?A. \( a_{25} = a_1 \cdot r^{24} \)B. \( a_{25} = a_1 \cdot r^{25} \)C. \( a_{25} = a_1 \cdot r^{23} \)D. [tex]\( a_{25} = a_1 + 24r \)[/tex]

Answer :

Final answer:

Explanation:

Learn more about Geometric Progression here:

Other Questions

4. ¿Con cuál de las siguientes expresiones se calcula el 25° término de una progresión geométrica?

A. \( a_{25} = a_1 \cdot r^{24} \)
B. \( a_{25} = a_1 \cdot r^{25} \)
C. \( a_{25} = a_1 \cdot r^{23} \)
D. [tex]\( a_{25} = a_1 + 24r \)[/tex]