two A.P'shave the same common difference.the first term of one A.P.is 4 and that of the other is 7.What is the difference between their i)7th term ii)20th term
Share
two A.P'shave the same common difference.the first term of one A.P.is 4 and that of the other is 7.What is the difference between their i)7th term ii)20th term
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
See this.
Step-by-step explanation:
Hope this will help you..Please mark this answer as the Brainliest and follow me.
[tex]\huge\sf\pink{Answer}[/tex]
☞ For Both the Question your Answer is 3
[tex]\rule{110}1[/tex]
[tex]\huge\sf\blue{Given}[/tex]
✭ Two APs have the same common Difference
✭ The first term of one AP is 4 and the other is 7
[tex]\rule{110}1[/tex]
[tex]\huge\sf\gray{To \:Find}[/tex]
◈ Difference Between their 7th term
◈ Difference Between their 20thterm
[tex]\rule{110}1[/tex]
[tex]\huge\sf\purple{Steps}[/tex]
◕ First term of first AP = a₁ = 4
◕ First term of second AP = a₂ = 7
◕ Common Difference of both AP = d
So,
General term of first AP will be
➝ a₁ + ( n - 1 ) d
➝ [tex]\sf\red{4 + ( n - 1 ) d}[/tex]
General term of second AP will be
➢ a₂ + ( n - 1 ) d
➢ [tex]\sf\green{7 + ( n - 1 ) d }[/tex]
Now,
Difference Between their general terms will be,
»» 7 + ( n - 1 ) d - ( 4 + ( n - 1 ) d )
»» 7 + ( n - 1 ) d - 4 - ( n - 1 ) d
»» 7 - 4
»» [tex]\sf\orange{3 }[/tex]
So,
Difference between the nth term of these two AP's will always be 3
[tex]\rule{170}3[/tex]