Given:
second term = 18
fifth term = 144
The nth term of a geometric sequence is:
Hence, we have:
Divide the expression for the fifth term by the expression for the second term:
Substituting the value of r into any of the expression:
Hence, the explicit rule for the sequence is:
Answer:
40
Step-by-step explanation:
The denominators are 4, 5, and 8.
Write the prime factorizations:
4 = 2²
5 = 5
8 = 2³
To find the least common denominator, multiply the prime numbers with the highest exponents.
2³ × 5 = 40
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