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Consider the arithmetic sequences 5, 13, 21
What is the common difference?
b) Write the next two terms.
c) Ca

By Quinn

Consider the arithmetic sequences 5, 13, 21
What is the common difference?
b) Write the next two terms.
c) Can the difference of any two terms of this sequence be 120?
1) Check whether 2020 is a term of this sequences?
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Quinn

A chord of a circle of radius 15 cm subtends of an angle 60 degree at the centre find the area of the corresponding minor and majo

of the following in decimal form and say what kind of decimal expansion each 4 1/8​

2 thoughts on “<br />Consider the arithmetic sequences 5, 13, 21<br />What is the common difference?<br />b) Write the next two terms.<br />c) Ca”

  2. Answer:

    a) Common Difference is 8

    b) Next two terms are 29 and 37

    c) T16 – T1 = 125 – 5 = 120

    d) 2020 is not a term of this sequence

    Step-by-step explanation:

    [tex]Arithmetic \: \: Sequence \: \: is : \\ 5, \: \: 13, \: \: 21,… \\ \\ a) \: \: \: d = T_{2} – T_{1} = 13 – 5 = 8 \\ \: \: \: \: \: Common \: \: Difference = 8 \\ \\ b) \: \: \: 21 + 8 = 29 \\ \: \: \: \: \: 29 + 8 = 37 \\ \: \: \: \: \: The \: \: Next \: \: two \: \: terms \: \: are : 29 \: \: and \: \: 37 \\ \\ c) \: \: \: 8 \times 15 = 120 \\ \boxed{ a = 5} \\ \: \: \: \: \: T_{16} = a + 15d \\ \: \: \: \: \: T_{16} = 5 + 15(8) \\ \: \: \: \: \: T_{16} = 5 + 120 \\ \: \: \: \: \: \boxed{ T_{16} = 125} \\ \: \: \: \: \: ∴ \: \: T_{16} – T_{1} = 125 – 5 = 120 \\ \\ d) \: \: \: T_{n} = a + (n – 1)d \\ 2020 = 5 + (n – 1)8 \\ 2020 = 5 + 8n – 8 \\ 2020 = 8n – 3 \\ 2020 + 3 = 8n \\ 2023 = 8n \\ \frac{2023}{8} = n \\ \boxed{ \underline{ \underline{252 \frac{7}{8}}} = n} \\ ∴ \: \: 2020 \: \: is \: \: not \: \: a \: \: term \: \: of \: \: this \: \: sequence[/tex]

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