Pregunta
QUESTION 4
Consider the linear pattern:
4.1
Determine
.
4.2
Calculate the sum of the first 51 terms.
QUESTION 4 | |
Consider the linear pattern:
|
|
4.1 | Determine
|
4.2 | Calculate the sum of the first 51 terms. |
Ask by Hanson Wood. in South Africa
Jan 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Problem 4:
Consider the arithmetic sequence:
- First term (
): 5 - Common difference (
): 2
4.1 Determine
Answer:
4.2 Calculate the sum of the first 51 terms
Answer: The sum of the first 51 terms is 2805.
Solución

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Como
Beyond the Answer
To find
of the linear pattern
, we first identify the first term (
) and the common difference (
). Here,
and
. The general term of an arithmetic sequence can be expressed as:
Substituting for
:
Now, to calculate the sum of the first
terms of an arithmetic series, we can use the formula:
For the first 51 terms, substituting
,
, and
:
So,
and the sum of the first 51 terms
.

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