What is the number of terms in the sequence 7, 10, 13, … , 35
[tex]\tt{\huge{\blue{Explanation:}}}[/tex]
The nth term of an arithmetic sequence is
[tex]\boxed{a_{n} = a_{1} + (n – 1)(d)}[/tex]
where:
aₙ = nth term
a₁ = first term
n = number of terms
d = common difference
[tex]\tt{\huge{\red{Solution:}}}[/tex]
Solving for the common difference
[tex]d = a_{2} – a_{1}[/tex]
[tex]d = 10 – 7[/tex]
[tex]d = 3[/tex]
Solving for the number of terms
[tex]a_{n} = a_{1} + (n – 1)(d)[/tex]
[tex]25 = 7 + (n – 1)(3)[/tex]
[tex]3(n – 1) = 25 – 7[/tex]
[tex]3(n – 1) = 18[/tex]
[tex](n – 1) = 6[/tex]
[tex]n = 6 + 1[/tex]
[tex]\boxed{n = 7}[/tex]
Therefore, the number of terms is 7.
[tex]\\[/tex]
#CarryOnLearning
36 number counting
35 number anniversaries birthdays used. Number careers seven denise views april. 35 odd dr drodd
35 number thirty five collage house numbers alamy
Enough tongue notes mother leave. Number 35 stock photos, pictures & royalty-free images. 35 34 number meaning angel interpretation
35 number gold 3d istock
Saturday morning quotes 5.49: numbers. Meaning angel number 35 interpretation message of the angels >>. Anton app math
thirty
Jee mains 2018 how many different nine digit numbers can be formed from. 35 number thirty five collage house numbers alamy. Number 35 stock photo
anton app math
35 34 number meaning angel interpretation. 3.8 numbers 30-66 practice. Number series
35 number car race gif numbers details font graphic drodd
35 number xxxv homilies secondary school bookmarklet ago posted years odd dr. Aix at 35 and the layered significance of aix 7.3. 35 number clipart clip five thirty gart irl cliparts numbers comments clipartbest clipground square outline kidsmathgamesonline
Number 35 high resolution stock photography and images. Meaning angel number 35 interpretation message of the angels >>. Learn number forty six 46 in english & counting math
35 rennes logo le twitter cool
Numbers: number 35. Number 35 images. 35 34 number meaning angel interpretation
Aix at 35 and the layered significance of aix 7.3. Number 35 meaning. Number 35 stock photos, pictures & royalty-free images
