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Olenka [21]
3 years ago
7

SEQUENCES AND SERIES

Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

a_n=a_1+(d-1)

and for geometric sequence is

a_n=a1*r^(n-1)

So,

According to given conditions

     a+7d=a*r^5                              (i)\\ a+19d=a*r^7                           (ii)

By dividing equation (i) and (ii)

Hence proved that

r^2=a+19d/a+7d

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What is the product? (9 t minus 4)(negative 9 t minus 4) negative 81 t squared minus 16 negative 81 t squared + 16 negative 81 t
liraira [26]

The product is negative 81 t squared + 16 ⇒ 2nd answer

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

  • Multiply (ax) by (cx) ⇒ 1st × 1st
  • Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
  • Add the two products ⇒ like terms
  • Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Learn more:

You can learn more about the product of algebraic expressions in brainly.com/question/1617787

#LearnwithBrainly

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