Math, asked by ravigkumar1972, 1 year ago

the first term of an ap is 19 . the ratio of the 6th term to 22nd term is 11:31. find the ap​

Answers

Answered by hiteshk1
2

Answer:

Given: 6th term A6= 20, 11th term A11=30

we have, An= A1+(n-1)d

=> A6=A1+(6–1)d

=> 20=A1+5d ——equation (1)

A11=A1+(11–1)d

=> 30=A1+(11–1)d

=> 30= A1+10d ——equation (2)

equating 1 and 2, we have

=> d=2, substitute in eq(1)

=> 20= A1+5(2)

=>A1=20–10=10

Hence, the first term A1=10 and common difference d=2.

Step-by-step explanation:

Answered by itzcutestar25
3

Answer:

The first term A1 = 10 and common difference d = 2.

Step-by-step explanation:

Given,

6th term A6 = 20

11th term A11 = 30

We have, An = A1 + (n - 1) d

=> A6 = A1 + (6 - 1) d

=> 20 = A1 + 5d (equation 1)

A11 = A1 + (11 - 1) d

=> 30 = A1 + (11 - 1) d

=> 30 = A1 + 10d (equation 2)

Equation 1 & 2, we have

=> d = 2, substituting in (equation 1)

=> 20 = A1 + 5 (equation 2)

=> A1 = 20 - 10 = 10

Hence, the first term A1 = 10 and common difference d = 2.

Hope it is helpful...

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