no of terms common in two ap 3,7,11,...407 or 2,9,16,....,709
Answers
Answered by
4
Answer:
no of terms common in two ap 3,7,11,...407 or 2,9,16,....,709
answer: 102
chirag7175:
102 is total term
question is how may common terms are there
Answered by
19
For 1st AP
a=3
d=4
aₗ=407
for 2nd AP
A=2
D=7
Aₗ=709
now the 1st term that is common to both the APs is a₆=A₄=23
and the last term that is common to both the APs is a₉₆=A₅₅=387
now According to the problem;
let us form another AP where
T₁=23
Tₙ=387
c.d,dₜ,=d×D=28
now Tₙ=T₁+(n-1)dₜ
387=23+(n-1)28
n-1=13
n=14
∴the number of terms that are common ti both the APs are 14
a=3
d=4
aₗ=407
for 2nd AP
A=2
D=7
Aₗ=709
now the 1st term that is common to both the APs is a₆=A₄=23
and the last term that is common to both the APs is a₉₆=A₅₅=387
now According to the problem;
let us form another AP where
T₁=23
Tₙ=387
c.d,dₜ,=d×D=28
now Tₙ=T₁+(n-1)dₜ
387=23+(n-1)28
n-1=13
n=14
∴the number of terms that are common ti both the APs are 14
Similar questions