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USPshnik [31]
3 years ago
10

If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th

e sequence?​
Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

Sum = 32

Step-by-step explanation:

Given

Sequence = Consecutive Odds

T_7 = 9

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

S = \{-3,-1,1,3,5,7,9,11\}

Add up all terms in the sequence

Sum = -3-1+1+3+5+7+9+11

Sum = 32

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Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

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From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

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Substitute y into any of the eqns to get x

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x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

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