Find the value of p for which the numbers 2p-1, 3p+1, 11 are in A.P. Hence find the numbers.♥️
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Answers
Answer:
The given three numbers (2p-1),(3p+1) and 11 are in AP. So, the value of p is 2.
Step-by-step explanation:
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If the numbers a,b and c are in AP, then
If the numbers a,b and c are in AP, thenb-a=c-b
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+c
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2So, the value of p is 2.
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2So, the value of p is 2.Then, the given numbers be
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2So, the value of p is 2.Then, the given numbers be2×2−1,3×2+1,11
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2So, the value of p is 2.Then, the given numbers be2×2−1,3×2+1,114−1,6+1,11
If the numbers a,b and c are in AP, thenb-a=c-b⇒2b=a+cThe given three numbers (2p-1),(3p+1) and 11 are in AP.Then,2(3p+1)=(2p−1)+11⇒6p+2=2p−1+11⇒6p+2=2p+10⇒6p−2p=10−2⇒4p=8⇒p=8/4⇒p=2So, the value of p is 2.Then, the given numbers be2×2−1,3×2+1,114−1,6+1,113,7,11