Question

For a given AP, t7 = 4, d = -4 then a = _ ?​

Answer 1

Answer:

28 is the correct answer.

Step-by-step explanation:

see, t7=4 d= -4

tn=a+(n-1)d

t7=a+(7-1)(-4)

4=a+ 6(-4)

4=a-24

so, a=24+4

a=28

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Answer 2

Given,

$a_7$ = 4

d = -4

To Find,

a =?

Solution,

From the formula of  the nth term in AP, we have

$a_n = a +(n-1)d$

For 7th term,

$a_7 =4 = a +(7-1)d$

$4 = a +(6)*(-4)$ [Putting the value of d given in question]

$4 = a - 24$

$a = 4 + 24$

a = 28

Hence, for a given AP, a is 28.