Svetlana's hair is 4 cm long. Her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long. Write an ineq
2 answers:
Answer: The required inequality is
Step-by-step explanation: Given that Svetlana's hair is 4 cm long and her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long.
We are to write an equality to determine the number of months, m, Svetlana can allow her hair to grow so that it is less than 16 cm long.
The total length of her hairs in months 'm' is given by
Since Svetlana can allow her hair to grow so that it is less than 16 cm long, so we must write
Thus, the required inequality is
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Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264