Question

Consider the sequence 1/7,2/7,3/7,4/7... a) Write the next term of this sequence. b) Whichis the first integer term of this sequence? c) Write the algebraic form of this sequence. d) At what position 2 comes in the sequence? e) What are the positions where the integer terms occur in the sequence?​

Answer 1

Answer:

a 5/7 ,6/7, 7/7= 1

b. 1 /7

d. 2nd

Answer 2

$Given \: sequence :$

$\frac{1}{7} , \frac{2}{7} , \frac{3}{7} , \frac{4}{7} ,\ldots$

a) Write the next term of this sequence.

$\green{ Next \: term =\frac{ 5}{7} }$

b) Whichis the first integer term of this sequence?

$\green { First \: integer \: of \:the \: sequence }$

$\green { = \frac{7}{7} = 1 }$

c) Write the algebraic form of this sequence.

$\green { Algebraic \:form : y = \frac{n}{7} }$

$\green {where \: n \in N}$

d) At what position 2 comes in the sequence?

$\green { 2 \:comes \: 14^{th} \: position \: of}$

$\green { \:the \: sequence .}$

e) What are the positions where the integer terms occur in the sequence?

$Each \: integer \: occur \:at \: 7^{th} \: position$

$\:of \: the \: sequence.$

•••♪