Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
|
One Answer Below
Anyone can contribute an answer, even non-tutors.
Hi anyone know how to answer these ?
Date Posted: 3 years ago
Views: 462
See 1 Answer
a)
Common difference = 9 - 4 = 5
Common difference = 14 - 9 = 5
b)
Last term is 109
Difference between first and last term
= 109 - 4 = 105
Number of common differences between them = 105 ÷ 5 = 21
This means that you need to +5 for 21 times to reach the last term.
So the last term must be the 22nd term since 1 + 21 = 22
Total number of terms = 22
Common difference = 9 - 4 = 5
Common difference = 14 - 9 = 5
b)
Last term is 109
Difference between first and last term
= 109 - 4 = 105
Number of common differences between them = 105 ÷ 5 = 21
This means that you need to +5 for 21 times to reach the last term.
So the last term must be the 22nd term since 1 + 21 = 22
Total number of terms = 22
Alternatively,
Use the A.P formula Tn = a + (n - 1)d, whereby:
d is the common difference
n is the term of terms in the progression
a is the first term.
109 = 4 + (n - 1)(5)
109 = 4 + 5n - 5
110 = 5n
n = 22
Use the A.P formula Tn = a + (n - 1)d, whereby:
d is the common difference
n is the term of terms in the progression
a is the first term.
109 = 4 + (n - 1)(5)
109 = 4 + 5n - 5
110 = 5n
n = 22
360 Tutoring Program