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In an AP, if the common …

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In an AP, if the common difference (d) = -4 and the seventh term (a7) is 4 , then find the first term.

Posted by Pratima Nath 6 years, 10 months ago

CBSE > Class 10 > Mathematics

4 answers

Somil Modi 6 years, 10 months ago

d= -4 , a7 = a+6d = 4 ------(1) Put " d = -4" in eq (1) we get---- a +[6][-4] = 4 a=24+4 a=28

0Thank You

Mehakdeep Kaur 6 years, 10 months ago

D=-4 A7=4 A+6d=4 A+6(-4)=4 A-24=4 A=4+24 A=28

0Thank You

Yogita Ingle 6 years, 10 months ago

a + 6 (–4) = 4

⇒ a = 28

Detailed Answer :

Given d = – 4 and a7 = 4

We know that nth term of A.P. is

an = a + (n – 1)d

a₇ = a + (7 – 1)d [n = 7]

4 = a + 6(– 4)

∴ a = 4 + 24 = 28

∴ First term of an A.P. = 28.

0Thank You

Puja Sahoo? 6 years, 10 months ago

a=28....

1Thank You

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CBSE > Class 10 > Mathematics