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nadya68 [22]
3 years ago
13

The 1st and 5th terms of an exponential sequence are 16 and 9 respectively find the 7th term of the sequence

Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0

Answer:

6 3/4

Step-by-step explanation:

y = abˣ

16 = ab¹

9 = ab⁵

ab⁵ / ab¹ = 9 / 16

b⁴ = 9/16

b² = 3/4

7th term: y = ab⁷ = ab⁵ x b² = 9 x 3/4 = 27/4  = 6 3/4

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Add: 1/ 2  + 2/ 3  = 1 · 3/ 2 · 3  + 2 · 2/ 3 · 2  = 3/ 6  + 4/ 6  = 3 + 4/ 6  = 7/ 6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - one half plus two thirds = seven sixths.

Add: the result of step No. 1 + 5/ 4  = 7/ 6  + 5/ 4  = 7 · 2/ 6 · 2  + 5 · 3/ 4 · 3  = 14/ 12  + 15/ 12  = 14 + 15/ 12 = 29/ 12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven sixths plus five quarters = twenty-nine twelfths.

<em>hope it helps...</em>

<em>correct me if I'm wrong...</em>

7 0
3 years ago
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