Question

Find the nth term equation for the sequence: 15, 11, 7, 3, I need a step by step answer please

Answer 1

Answer:

here value of a is 15

d is equal to -4

and last number is not available so it's n term can't be found

Answer 2

ǫᴜᴇsᴛɪᴏɴ :

Find the nth term equation for the sequence: 15, 11, 7, 3...

sᴏʟᴜᴛɪᴏɴ :

★ Given that,

• AP Series : 15,11,7,3...

★ To find,

• nth term of the AP series.

★ Let,

• a1 = 11
• a2 = 7

➡ Common difference (d) = a2 - a1 = 7 - 11 = - 4

★ Now,

We have the required terms to find the nth term of AP series.

• a = 11
• d = - 4
• n = n

Formula :- an = a + (n - 1)d

• Substitute the values.

➠ an = 11 + (n - 1)(-4)

➠ an = 11 - 4n + 4

➠ an = 7 - 4n

∴ Hence, the nth term of AP series = 7 - 4n

★ More Information,

AP FORMULAE

◼ an = a + (n - 1)d

◼ Sn = n/2 [ 2a + (n - 1)d ]