The tenth term of an AP is 30 and the eleventh term is 50. Find the AP

1.	The tenth term of an AP is 30 and the eleventh term is 50. Find the AP.
Answer» 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:

The tenth term of an AP is 30 and the eleventh term is 50. Find the AP.

Answer»

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:

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The tenth term of an AP is 30 and the eleventh term is 50. Find the AP.

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