Question

for 7th term is-f & its 16 th term is 17
find AP and write first 3 teams.​

Answer 1

T7 = -1 eq 1

t16 =17 eq2

.in eq 1

we can write t7 that is seventh term in another way using a formula

that is tn = a + (n-1)d

so a +(7-1)d=-1

a +6d=-1 eq 3

in eq 2

t16 = 17

a+15d =17 eq4

now subtract eq 3 and eq4

a+ 6d = -1

-a-15d=-17

__________

-9d =-18

__________

so d = 2

them substitute d = 2 in in any equation

but I am substituting it in eq 3

a + 6(2) = -1

a = -13

now

the question is to find tn

so

tn = a+(n-1)d

tn= -13 + (n-1)2

tn = -13 +2n-2

tn = 2n-15

_________

hope this helps you